I applaud you for thinking this out so thoroughly.
This is very entertaining, and I could see Beane trying to make something like this happen. Forget Gronkowski, we don't need more old damaged players. Bortles would be a nice back-up, and I like the idea of going after David Andrews. Your defensive choices are very sexy, but that will take a lot of work and creativity, even if we made all the cap room for them.
There is no chance that Greg Rousseau & Quincy Roche last until the end of the first round, forget it. The same goes for Alex Leatherwood lasting to the end of the 2nd round.
Pat Freiermuth would be a reach in the first round, but it would make sense, depending on who else is left. Trey Sermon would be a good pick.
We shall see what happens.