Rob and Scottish
I guess I should also add what I do. This may sound a bit extreme. I was making lots of cell phone cases. After I dye and oil my piece and got it all buffed down, mix my AR 60 / water 40. I dunk the whole piece into the solution then take a wool dauber and rub inside and out. I pour the mix off then use a tee shirt pieces to wipe the case inside and out. I would then gently buff the outside. I would set it aside to dry at least 48 hrs for the acrylic to dry and cure. To finish my edges, I use a sanding drum, scuff the edges then apply dye with a dauber then finish it with a small dauber with NeatLac. After that's dry, I take my rubbing stick or rubbing attachment that's chucked up in the drill press.
With this process, I had good success keeping my dye from blotching or rubbing off. There is something in the AR that pulls some of the color out and I get a bit of bleeding in mix. But it evens out when it's all dry.
Scottish, I don't know if the dunking will work for you if your making shoes. this IS extreme ... maybe just try wiping it on. I know that this worked for a cell phone case in my situation.
I would try these tips on scrap leather till you find a process that works for you!
I hope this helps. let me know if I can help more
Tim