Definitely providing him with something he "can" do - like his own drawer.
We try and stay away from "no" as much as we can. Not only do little baby's not understand, but I think how frustrating would it be, for me, as an adult, to be told "no" to all the fun things I want to do? They are simply little experimenters - so in our house, if DS is getting in to a drawer, we simply close it, pick him up and say "this drawer is for Mummy's craft (or whatever it is). Let's play in this drawer". We also do all we can to make the environment a "yes" environment - so we have absolutely nothing on coffee tables, all our low drawers have junk in them that we can just toss back in, there are no breakables at arms reach, doors to rooms that we don't want him in are shut, cupboards we don't want opened have latches on them, etc.
Re: the biting......again, some babies think the sudden loud "no" is fun - hence the giggling. Mummy went from saying nothing to this single loud word all in the space of a nano-second

DS is also goingt hrough a biting stage (just turned one yesterday) - all related to teething here

He will come up and bite me through my pants - ouch. We just recognise his need to chew and pop something else in his mouth (teething ring, rusk, piece of apple)

It *is* frustrating, I hear you - I find myself flinching in anticipation sometimes.