What I see so far:
QB: Allen, Trubisky
RB: Cook, Johnson, Gilliam
WR: Diggs, Samuel, Shakir, Hollins, Shorter, Isabella
TE: Kincaid, Knox, Morris
OT: Dawkins, Brown, Van Demark
OG: Edwards, Torrence, Anderson
C: McGovern
DE: Rousseau, Miller, Epenesa, Toohill, Jonathan
DT: Oliver, Jones, Ankou
OLB: Milano, Williams, Morrow
MLB: Bernard, Spector
NB: Johnson, Lewis
CB: Douglas, Benford, Elam
S: Rapp, Hamlin
ST: Bass, Martin/Haack, Ferguson
What I see Beane doing:
QB: I don't expect him to draft anyone else, position looks set
RB: draft a power back later or bring one in late on a bargain deal
WR: I think Beane adds a X receiver rounds 1-4
TE: possible a late round flyer on a blocking TE
OT: I think OT is a sneaky need, with Brown's contract upcoming. I expect Beane to take a OT for development in the draft, and might be earlier than expected.
G: late round draft add for development.
C: could be a 1st round addition with how this draft stacks up. That player could start at OG or McGovern goes back to OG.
DE: Unless Verse or one of the Robinson's are available, I think this position is a late add.
DT: I see Beane adding 2 DTs in the draft. It's a depth need, and they need someone to eventually replace Jones.
LB: depth addition in the draft.
NB: not a need
CB: possibly a late round addition for depth and development, a Wallace or Jackson type.
S: Beane probably adds another FA here, but could also be DeJean if he falls.
Overall, with the roster needs and what's available in the draft, I think Beane will go BPA in the 1st and see if someone unexpected falls near 28. He's got to add about 10 players, but because of what he did in free agency, he no longer needs to fill the roster will rookies. A Beane-special trade up could also be in the works.
Biggest needs, in order of what I see: DT, S, OL, WR, CB