Hi. I've been bodyboarding with contacts for a while now. For me, I've never really had a problem getting them in. It does take a few days to get used to it, but if you keep at it, in a short while you'll be able to put them on in less than 30 seconds.
As for the goggles, I imagine you can get the prescription style athletic goggles that some pro athletes wear (Eric Gagne of the Dodgers for example) Check with your optomotrist. Only problem is that you'll probably look a little goofy surfing with those types of goggles.
good luck.