Speaker Pelosi has a veto option available. Adjournment.
The House can adjourn and end its session. Basically the deadline to pass any new legislation is done. The Senate already has the tax cut bill for under $250,000. That is the only bill they may adopt before the tax cuts expire at year end.
The Obama compromise would be done. The Republicans can pass a decoupled middle class tax cut, or be responsible for everyone's cuts expiring.
Simple.
The Senate could even decide to not bring the tax cut up until we get up or down votes on DREAM, DADT, etc.