there's a few boards out there that make it very hard to catch an edge. I'm thinking anything Bataleon/Lobster TBT or Rome Nohang-Ups but I'm sure there are others. you might want to give those a try.
also, you were probably trying the wrong wristguards or the wrong size.
and yeah, everybody falls on a snowboard, even people who are really good at it. riding just to NOT fall is a bad idea and doesn't sound like a lot of fun. just learn how to fall properly and get proper protection. and everytime you fall make a snow angel or something to get some smiles out of it