It's probably moot because if Carter slips to 2 or 3 and the Browns or Giants don't want him, someone else will jump us and take him.
Our dilemma is that if we don't take an OT with our first pick, there's a good chance that the best 6 OT's will be gone in the first round or top of the 2nd: Membou, Campbell, Banks, Simmons, Connerly, & Ersery. We need to land one of those guys, so if we go DL or WR then we'll need to give up significant draft capital to move up from 38 to say 26-28: more than one of our 3rd rounders, probably both 3rd's or a 3rd & 4th). We can't be giving up picks like that.
Our best move is to trade down to the 6-10 range, getting at least a 2nd rounder. Then take one of the top 3 OT's, or a stud at another position knowing we can move back up to the low to mid 20's with the 2nd rounder we acquired from the move-down. So we end up picking at say 10 and 22 instead of 4 and 38.