I feel like New England is more likely to trade back for a haul from 3 rather than give up a haul to move from 3 to 1
I think the Bears take Caleb #1, Washington takes Jayden Daniels #2 (or maybe Maye) and then New England trades back to whichever team wants to take Drake Maye (or Daniels) at #3
If they feel the pressure in needing to have a new QB absolutely agree with this as the possible route. For me, AZ is the spoiler for me and I would want to trade and still be ahead of them, particularly because I believe in MHJ.
The other side for NE and below is you don't get to choose from the "top" prospects. You'd need to be content with settling, and that didn't go well with Mac Jones. Granted, they have a much better pick, but this also applies to other QB needy teams.