If you want a cheap drag car get a Mustang 5.0. They are light, cheap, reliable, adn you can get into the 12s with slicks and a minimum amount of mods. Plus, if you get one in good condition it should look really nice as well.
No shit talking about Mustangs. Last time i went to Fontana for drag racing there were a couple 1JZs and 1 7M and they all sucked big time, they couldnt launch, they were all on street tires, and they all ran 13.5-14.5s with tons of mods. If you want to drag, get the Mustang.
If the Mustang is not your deal get the Supra, it is superior in every way to the 240. The only drawback may be weight but you should realize that its only heavy because of all the high quality and luxury parts. If you pick up a 240sx control arm and compare it to the supras you will understand.