my honest advice is to experiment with grips (both grip type and grip strength) until you can throw the wizard without flutter.
the bulldog is taller profile but is substantially low speed overstable. the rhyno fails for the same reason.
the "best" low profile putters are the classic roc and #2 upshot. honestly, the #2 upshot is probably a bit better of a disc, and who knows, you could probably land a lightning sponsorship if you cashed in a tournament with it
i have tiny hands. brad hammock (5'2") has smaller hands than i do and he doesn't seem to have a problem with aviar depth.
Which low profile putter has the best characteristics? I read once that you suggest picking a putter with the best characteristics and learning from that
answers: all low profile putters on the market get stomped by the taller profile putters in terms of characteristics. that being said, it sums up the other part of the line i've quoted. part of that philosophy of learning the "best" putter is to do things like experiment to get rid of the flutter.