I don't follow the draft as much as other posters on here do. As many others have said, I don't expect Zoll or Johnson to do much different that has been done in previous years. Falvey & Co did change their philosophy during his tenure. They did shift from drafting players like Sabato, Larnach, Wallner, CES, and Steer to players like Lewis, Jenkins, Lee, Houston. They went from big, light-tower power hitters with defensive issues to more contact hitters (defense may vary).
I agree with many of the other posters as well to employ the KISS strategy. Pick whichever of the top 3 is available. The draft sounds like it is the top 3, the next 3-5 players, and then the rest in those tiers. Ultimately, if the Giants are set on trying to buy the #3 pick, that is their prerogative. The Twins will make sure that the player will sign with them before drafting them. If one of those three completely refuse to sign with the Twins, you can work with the other potential draft picks and maybe pay under slot and try to use the extra money to tempt a HS or college junior to forego their career and sign with the Twins. First round should almost always be best available and the remaining rounds to address needs.