I prefer fluffier batting than say warm and natural style. I don't think rolling pin would work for me at all, need to lift up and reposition large wrinkles, can tug on smaller stuff around the edges. I use spray baste in sections, so am only dealing with about a foot or so of fabric each time. I use my long 6x24 ruler sort of like a squeegee to help smooth.
I think most of us over-spray at first, but it has been my favorite method (prior to getting my long arm). It shouldn't feel wet, you shouldn't really see much (this from a person with vision issues). If you have oversprayed and your needle is getting gunky while sewing, best thing I've found is to spread it out and let it dry for a week or two... On the other side of things, if you know you aren't going to get to it for awhile, I'd lightly roll it up and maybe keep it in a large garbage or plastic bag of some sort.