Browns fans are ecstatic with the Jets trade as they now believe they will get their QB at 1 (Darnold is the front runner) and the best non-QB at 4 (Barkley and Chubb are fairly evenly split). The Giants could still ruin that, but most people seem to think the Giants will either take a QB at 2 or trade the pick to a team that will take a QB. However even if they take Barkley, that still leaves Chubb for the Browns since the Jets are clearly taking a QB.
It seems very unlikely the Giants will draft a QB with that pick. They just paid out a $5m roster bonus to Eli yesterday and the ownership has seemingly been steadfast in their intentions of keeping him around for at least a few more years. They still believe they can win with him.
I'm really hoping they draft either Nelson or Chubb. I'd be fine with Barkley, too, but drafting an offensive or defensive lineman at the top of the draft would just make so much more sense. Both are positions of great need, and are more important positions than RB anyways.
Trading the pick is another possibility, but I'm hoping that if they do, it's only because someone was willing to offer an overpay like the Jets just did.