I think there a enough good teams drafting late that want/need to add RBs.
DEN, IND and ????
Car, Pit... Possibly Jack, NYJ, NYG.
PIT makes sense in that group of White gets passed DEN/IND(I don't think he will but opinions of him swing wildly) but I don't think any of the others you've mentioned go RB in round 1.
With these teams having the following picks:25, NYG - Barber old, Jacobs not the answer
27, Car - Need to get someone to spell, come in when Foster gets injured again.
28, Jack - Taylor getting old and not staying healthy with not much behind him IMO.
29, NYJ - Martin's wheels are falling off and is Houston really the guy?
30, Indy - People seem to agree there.
32, Pit - Looking for a power guy and better between the tackles runner to spell Parker/replace Bettis and Staley (when he gets hurt again
).
I don't find it hard to believe at all that one of the RBs grades out as the BPA to them and all should have an interest in the position.