As many others have said, skip the baptism and do something along the lines of a baby dedication/celebration of life ceremony with your non-denominational pastor. Have you asked that pastor what would be appropriate for your situation? Before I became a SAHM, I was a Presbyterian Youth Director and Christian Educator. Over the course of 11 years, I also worked for Methodist and Lutheran churches, and all 3 of those denominations baptize infants. The infant baptism ceremony in those denominations denotes the parents plan to raise the child as a Christian in the church, and the congregation's commitment to assist in raising the child in the Christian faith. When the child is older, s/he makes the choice to go through Confirmation class to confirm their desire to become a member of that denomination. Some people (including a lot of older catholic folks) believe in infant baptism because they think the child's soul will go to hell if they die before they are baptized. You and your husband clearly aren't in this category.
Our 5-year old was baptized in the Presbyterian church I worked in when he was born. Our 17-month old daughter is not baptized because we have not been active in a church over the past few years since we moved up north (hubby is in the Air Force). People think it's weird that I've worked in churches, graduated from seminary, and have a kid that isn't baptized. It isn't appropriate for us to just go out and find someplace for her to be baptized, and many pastors aren't going to baptize just for the sake of baptizing if you aren't a member of their church because that misses part of the point of baptism, which is to be brought up in the fellowship of Christians in a church setting. So please don't let the pressure you feel from anyone sway your decision. Like I said, talk to the pastor who married you and find our what s/he says. Good luck and if you want to chat further privately, please feel free to message me.