I can tell you from my experience what are not late dropping crabs...
Zumi (Coldwater Nursery)- great fruit load just about every year, but they ripen up quick in September, start dropping soon after ripe, and the birds, squirrels and deer clean them up. A great tree but completely bare here (SE Mich) on 13DEC16.
American Crab from Willis orchard. Great heavy bearing, loads of crabs, same as Zumi...completely bare here mid-December.
Siberian Crab...little pea sized fruit, ornamental...never drop. The bird (titmouse especially) just work these over all day, everyday. Smash the pea sized apple, gobble the mush. Lots of fruit but feeds no deer. (Coldwater Nursery)
I have a few more but first year bearing on Wickson crab, Whitney crab and Chestnut crab - I've learned not to trust what you see based on less than a dozen apples on a first year bearing tree. Juries out.