I don't think the idea is crazy. The church where you work is your job, the church you are thinking about attending is your church. If your job with the children is during the service itself in another room, you won't even be going to church at your work church per say.
And even if you to do have to attend the service at your work church as part of your job, it sounds like they will not be having communion the Sundays you are working, and though what a liturgy from a federated UCC/Methodist/American Baptist church would look like isn't immediately obvious to me, my best guess is that you are not getting a real formal liturgy there with a full lectionary and vestments and paraments on the altar and whatnot.
The other three churches or deniminations you're looking at- the RCC, ECUSA, and ELCA are all more liturgical with a lectionary, typically liturgical seasonal emphasises in vestments and paraments and tone, and a Eucharistic focus with a belief in the real presence to varying degrees. The Lutherans are a little bit less like that than the Roman Catholics and the Episcopalians, typically, but probably all are more like that than the church you're working at. Point being- different experience than your work church, probably, so not redundany except in so far I am sure any church involves prayers, some hymns, at least a mention of scripture, and a sermon or homily; but it might be two different things apart from those basics, and the basics might be from a very different tradition in each church that makes them different (Or not- you would know, having actually been to this work church that seems to be part of three denominations

).
You didn't say what the denomination is of the church you are attending currently that you are only going to be able to go to once a month when work starts, and I'm viewing this on my phone, with a cutdown user interface due to limoted screen space, so I can't see some of that helpful identifying stuff that's sometimes included by people's posts automatically when viewed on a computer. Since this thread is in STR, though, I'm going to assume you're an Anglican of some sort (Feel free to correct me if I'm wrong).
So, the Episcopal Church parish you mentioned seems like the logical choice for you on the surface of things. If you're already Episcopalian, you would be getting the same liturgy, lectionary, church calendar, belief system, etc.. You might even be in the dame diocese with the same bishop! If you are an Anglican from a breakaway group, even then you might be getting the same liturgy or a liturgy that evolved from the same origins in a Book of Common Prayer of some sort, the same liturgical seasons, and maybe even the same readings. Seems like a good way to keep up with the flow of the readings and the calendar, even though presumably if you aren't Episcopalian for a reason and instead joined a breakaway group, it's for a reason, the plus is that, as you implied, you have Apostolic Succession there in the EC and feel the Eucharist is valid there and are welcome to receive, so there seems like a potential fit for you there to me, even if you might have to tolerate some elements that you left over being present.
ELCA generally has a lot of the same liturgical stuff as the EC, but typically less formal and with less emphasis. ELCA also in theory is using the same Revised Common Lectionary used in the Episcopal Church, but Lutheran pastors are given a lot of discretion to vary from the lectionary that Episcopal priests don't have, so if hearing the readings is important to you, you aren't totally guaranteed to get the "right" ones there in the sense of following the lectionary, but you might. If it matters to you, ELCA for better or for worse seems about the same as the Episcopal Church on left-right issues- they have female pastors, they are historically considered a "mainline" Protestant denomination which tends to mean moderate, and have like the EC been moving more to the liberal side of things with time, etc.. I'm not sure if ELCA has gay bishops (They do have an office called bishop, but its not the same as a three-fold ministry as in Anglican churches, its more a position than a different level of ordination in their view. They feel there is one level of clergy- pastor, which can do everything including ordain more pastors) or gay marriage, but I think if they aren't there, they are getting there, just maybe a little bit slower than the EC. You could take communion there, too.
And I am certainly not one to say not to go to a Roman Catholic mass! You may be surprised at how much you get from the experience if you've never been.
But my general inclination would be to say if your home church you are happy with is Episcopalian or Anglican, it makes sense to do the Episcopalian parish the weeks you can't be at your home parish- smoother more consistent transition back and forth. But its of course up to you.
Two cautions:
1. If going to church twice each Sunday is going to cause family issues or issues with your partner or friends or just added stress and difficulties, don't do it IMO. Not worth it and maybe not fair to them or to you. If they don't care and it won't stress you out, no problem!
2. Make sure that if you do go to two things each Sunday its because you really want to and not because you feel obligated. None of the churches or denominations you mentioned say you must go to church more than once on Sunday.

Only partial exception is that the Roman Catholic Church doesn't consider any of the other things mass and mandates you go to one RCC mass a weekend (With exceptions for if you have health difficulties, have no way to get there, live really far away, or have to work at all available mass times), but I'm guessing this thread would be in one of the Catholic sections if you were a Roman Catholic.
Just make sure you're doing it because you want to, not because you feel some sort of guilt or stress saying you have to, because you don't have to.