Its more a question of the physicality of the current squad. Don't forget how ridiculously athletic the established prem players are...as a minimum you need to be strong, fast and imposing. Unless you have the ability of a Silva or Fernandes. As it stands, the honest answer is very few are even potentially Premier League level.
My take, in no particular order:
Cooper (no guarantees but he has shown good distribution, command and shot stopping this season. Comparable to the impact Hendo had with us and he is now an established Prem player. Could see him making the step up).
Seriki (has the physical attributes, absolutely dynamite going forwards. Question marks over the other side of his game but certainly has potential. Would be a nice rotation option in year 1).
Blaster (showed glimpses in previous season that he has the speed of thought and range of drive/ passing/ physicality to belong at that level. Would like to have seen more games to form a proper opinion but got to say on evidence to-date, he has a chance).
Peck (no physically outstanding attributes, still very much a developing Championship level player, albeit coming on leaps and bounds. You'd want to see him regularly running games at this level before confidently thinking he can do it in the league above. On a great trajectory but unknown if he can cut it prem level yet. For me, next season might prove too soon).
Burrows (On the fence with this. Again, compare him to the Stevens we saw in our promotion season. I don't think he's at that level, but his development is on the upward curve. I worry about his ability to stay with the beasts he'd regularly come up against on the right wing. Potential but 50/50 at absolute best. Will be spending most of his time in our half).
Cannon (no physically outstanding attributes, hasn't shown he can dominate a Championship game for us yet)
O'Hare (great engine but will get completely brushed aside, as he currently does. Its a no unfortunately).
Campbell (excellent movement, reasonable pace, good finisher. Actually can see Ty being someone that could make an impact at Prem level. Rotation off the bench for a team that survives).
Davies (got 150 games under his belt and when he has played for us this year you can see how he constantly buys that extra half second with a good first touch away from danger and knowing where to be to receive it. I think if he can get over his fitness issues he is amongst the most likely players to make the transition with confidence).
Anel (gets found wrong side and loses concentration too often. Isn't physically dominating. I don't think he would play for any side 17 upwards...not good enough if we are being brutally honest).
Souza (lot depends on his partner and wider team I think. His stats early part of last season were top-end of the league, but you can't do it on your own and he gave up quite early. He is very limited beyond the role of a destroyer but with movement and options around him I think there is reason to believe he can make it. On his game this season he has been one of the most consistent and impactful midfielders in the league).
Hamer (as others have said, needs to get fitter to make the step up. He is a little too wasteful in possession and isn't the best decision maker...but he has that speed of thought and spark that we don't have anywhere else in this team. Can impact games at the top level as proven and with a competitive team could be a starter for a team that survives).
I'll have missed a few but those I have missed, not making it.
To build a squad finishing 17th we would clearly need a huge influx of players. Retaining a 4-2-3-1 I think we'd be looking at two new starting CBs, probably two starting full backs with Seriki and Burrows rotating, two starting wingers, and probably a starting striker

£200M then....