Not sure... But I think a fleshing wheel is kind of like a wire wheel on a grinder, is it not??????
The ones I did I just used my hunting knife to flesh. If you have done a good job of that, then you just need to make the skin a little thinner if you wish to have a nice soft supple hide. I used my knife again, and simply worked in the same plane as the hide - NOT through it. It works much the same as the fleshing step, but the hide is now gooey and slimey (nice words, but they work perfectly). You have to be careful, but they do give quite a bit because they are wet. I can't imagine that a fallow deer will need a whole lot of thinning. I probably spend an hour a hide in my garage on a saw-horse table with a cardboard box to rub the goo and hair off into. If you are going to make a flat wall hanging that people will pet or look at, but not cuddle up under, you probalby don't even need to do much thinning. A little stiffness will be nice to have.
The key to keeping things soft and supple is the buffing stage (I used a handheld wire brush), tumbling (do NOT use heat), and the oil you use when done. Dry it slowly and brush/tumble it often without heat. Good Luck, and let us know how it turned out.