I wouldn't. The women you meet at church will figure out pretty quick why you're there, and that you don't really follow the religion. If they're at all serious about it, they won't be interested in you, and you probably won't be that interested in them. Unitarians are often more accepting.

Do you have some kind of hobby/activity that you're into? My weekend running group usually ends up at the brewery for post-run lunch. When I trained martial arts I met lots of great guys there. Not a lot of women in that particular activity, but maybe you have something else you do or want to try. I have great friends in the community band I play in. Pre-COVID I was in a ballroom dance class, there were 3 women for every man.