I'd say high 12's in an Accord with an all motor H22 would be a bit of a stretch. It doesn't really matter where the engine was originally sold. Nightshade, who is a mod of the Basement, has/had a built H22 in his Accord and was running high 13s on street tires.

For 10 grand you most likely should be able to afford an H22 swap and a turbo, along with the requisite fuel things like a Hondata and some injectors. That's a pretty healthy budget you got there.