Here is my prediction of the 4 players most likely to be drafted by Boston today in order.
Zack Collins
Dakota Hudson
Ian Anderson
Zack Burdi
I think the Sox would jump on a better college bat like Kyle Lewis, Nick Senzel, or Blake Rutherford if they fall. I doubt that will happen, but one of them like Rutherford may. They also possibly could jump on a HS pitcher like Matt Manning or Jason Groome if they fall. It is rumored that Oakland likes both those guys but prefers Groome but will draft Manning if he's gone. I could see the Sox taking one of those guys if the college bats don't fall and they are still there, of course they could be falling due to too high a price tag and that could scare the Sox off and move them to sign a guy they have an understanding with in terms of what it will cost to sign them. Then again, someone like Jason Groome who is reportedly a life long sox fan may be willing to drop his price tag 1 million down to sign with the Sox for something like 3.1 million.
I would like to note, that I viciously follow the Soxprospects and every year they do a draft preview, and EVERY year the Sox have picked one of the 4-5 guys they list as possible targets. So, if that holds then your first round draft pick is probably one of these guys talked about here.
http://news.soxprospects.com/2016/06/2016-red-sox-draft-preview.html