So, waiting at the gate for a flight today I played around with one of the online Mock Draft Simulator. It gave the Pats the #1 overall pick, and then was very willing to let me trade down with other teams as long as the deal was comparable value.
In one of these things where the simulation kinda-imitates-life-only-this-would-never-happen I kept matching a higher day-one pick with combos of lower picks and after repeatedly trading down from picks #1, #33, and #65 ended up with
round 1
20 - Shavon Revel, CB, East Carolina
29 - Aireontae Ersery, OT, MN
round 2
33 - Kenneth Grant, DT, Michigan
47 - Josh Conerly, OT, Oregon
round 3
67 - Eric Ayomanor, WR, Stanford
90 - Tory Horton, WR, Colorado State
... and then a bunch of late round people I'd never heard of
Will never happen. But it was random airport fun figuring out how to restock a bunch of positions at once