RE: Transporting decoys, fold or carry in big mesh bag?
I've never worried about fighting the folds afield. I did stuff my early Carrylite/Flambeaus over the non-turkey hunting rest of the year to help them keep their shape, but the Delta hen and the softer foam jake I use now keep their shape pretty good. The Delta is small enough that folds pop out and the foam jake doesn't seem to get folds.
I don't think you have to have a perfect, fully expanded turkey decoy anyway, as I think a tom will come to pretty much anything that reasonably resembles a hen or jake, from what I've seen. If this really hangs you up, have you considered getting one of those expanding stakes that Lindeman makes??