What can I expect it to run?

I think initially you'll go mid 10s. Having the power and getting the setup just right on those tires will take some time and experience. 9s are where it will end up I think, but you'll have to learn a lot about driving it.
I'd like to see more gear, and I think that convertor is almost laughable depending on how it was built. But... you want a street car so... it's more of a buildit and see what it will do. I think it will ultimately come down to keeping the convertor and trans alive, and getting it hooked.