Not a good idea---I did that with a couple books like BetRoyal when I just wanted their initial bonus deposit.
Then, I couldn't get the money out when I met the rollover requirements because of my false address. So in order to get the money, I had to deliberately lose at BetRoyal while hedging games with other sportsbooks where I could cash out. It was ridiculous.
I learned a hard lesson - so, that's why I have greatly limited my outs. Right now, it's just WSEX and TheGreek. I'm hoping to add BetJamaica but only if they don't send regular snail mail to my house.