Marcie, I think that there are a couple of attitudes wrapped around each other in your question. I agree with everyone else here that it's a rare Episcopalian or Anglican who opposes birth control. BUT there are many Episcopalians who are politically way-out liberal to the point of thinking that its not a matter of your choice. They will say that if you want to limit your family's size (probably including abortion) that's good and it IS your choice, but if you don't limit your family size to the number they think right, then you are sinning against the Earth, our mother, don't you know?
I'd recommend one of the Continuing Anglican churches in your city where it would be very unlikely that you'd encounter the same mindset you are describing. ACA, ACC, REC, or AMiA or CANA would be worth looking into. I don't know if any others are in your city.