As Reggie said, the ultra-quick drying time is just a fact of life with acrylics. You can help the problem a lot by using either an acrylic retarder or Tamiya thinner (since it contains some retarder) in your paint. Retarder is available at most art supply stores (But very few hobby stores). Michaels, Hobby Lobby, any place like that should have some. It is available under numerous names including Liquitex, Golden, Createx, and several more.
DON'T add it to the entire bottle of paint. Pour a little bit of your paint out into a small container (I use the top of an old 35mm film canister), add a couple of drops of retarder, and the paint will dry much more slowly and eliminate most of your problem.