I plugged those settings into the simulation and here is what I got :
Overpair or set : 34.4%
Any pair : 54.1%
If our plan is to raise to say 450$ and fold to allin the EV of the play is :
a)if he push overpairs/set folds low pairs : +130$ for us (where 0$ is EV of folding to cbet)
b)if he push any pair : -43$ for us
c)if he push overpairs/set and AK (better strategy than pushing low pairs as AK has better equity vs our potential allin range than say 99) : -101$ for us.
d)if we just push and he calls with overpairs and sets our EV is +22$. Marginally better than folding.
Conclusion : Playing back is good if he is straightforward and only plays overpairs and sets against our raise.
I wrote similair article
here I think you may be interested in it.