Max safe long straight performance in a road race?

[Humba]

Hi, im thinking of a hypothetical race.

The race would be driven in a street course. It would have normal corners etc, but also one very long straight.. say one mile long. Now, I would want to do one qualifying lap, and after that a 30-40 lap race. The only requirement for the car would be only to achieve maximum speed in this very long straight. No cornering or 1/4 mile performance would be needed, even tough we would be driving against time in qualifying and against each others in the race.

What kind of horsepower is it possible to run in qualifying without destroying the engine? What about race? What kind of top speeds would it be possible to achieve in the long straight with this safe amount of power when the car is optimized only for long straight performance? We would have 100 000 - 200 000 dollar budget (yeah right..)