It depends. First, we gotta evaluate whether QBs are coming off the board or not. If we get to pick 12 and no QBs have gone yet, the targeted talent pool is likely to be tapped.
Secondly, we have to assess if there are any trade back options on the table.
If the browns pick at 12 and there still isn't a QB off the table, we will need to assess who is left and whether they are worth calling Arizona or Philadelphia to move up to take a designated player. If Davis, Williams, Barnett or Foster are there, I'd be game to trade up a few by giving up no more than a fourth or our third round comp--which would still be very steep to me.
In this draft though, i would love to have teams like the Giants and Buccaneers looking to trade up for Cook, McCaffrey, Ross, or Howard so that we could get extra third and fourth round picks while still having the chance to land prospects like Robinson, Harris, Tim Williams, Reddick, Conley, etc.