I think after looking at your roster I would feel comfortable making that move. But just be prepared for Davis to be somewhat inconsistent this season. He's never had to carry a team on his shoulders, and on nights that he goes up against the more physical bigs, he might not get as many clean looks at the hoop or rebounds.
But, I think in a game where blocks are valued very high, the best case scenario would be to do a 2 for 1 trade and then pick up Davis. But odds are, if you do that, someone else will grab Davis while your trade is pending. I am very surprised he is still a FA.
If you have a chance, please take a look at my post about a trade with Batum and Lillard. I'd like to get your opinion since you have both on your squad.