dealing with minraises against your BB @ later levels (55s)

[ir0nphist]

It seems like this happens ALL the time:

(Hypothetical hand)
Blinds 100/200

UTG 2000
Button 4000
SB 2000
BB (Hero) 2000

Hero is dealt (4h 8h)
UTG folds, Button miraises to 400, SB folds, Hero ??

I absolutely hate this position. At times I will resteal all-in, but I don't like that as my standard line. Especially if I've been aggressive lately, which is usually the case by this point.
The problem here is that I am getting 3.5:1 on the call, so it seems weak to fold, but it's hard to play much post flop at this point in the tourney.