You should go to the Catholic Church or whatever Orthodox Church your husband is a member of for baptism and all the sacraments. It sounds like your husband has already vetoed that for some reason. Does he forbid you going to your Catholic church?
The good news is, depending on what sort of non-denominational denomination it is, their baptism might be valid. Depends. Do they use real water? If they immerse or pour, with natural water, that's all to the good. Do they use the Trinitarian formula for baptism found at the end of the Gospel of Matthew? If so, that's all to the good. Do they have a Trinitarian understanding of who God is? Or only sorta kinda? Do they accept the Nicean Creed? If so, more than likely the baptism would be valid.
You can read about how baptism from the point of view of the early Church hrer in the Didache, written at the end of the first century of the Church.
The Didache - Teaching of the Twelve Apostles - Oldest Church Manual