I wouldn't. Save for the K swap for your GSR. Unless your car is in a s***ty condition, no sense dropping a car you know about to pick up one that might have a bunch of issues.
Edit:
I don't think your GSR will pay for a lower model Integra, a beater and a K swap. Lol.
we need pics and the condition of your vehicle before we can give any type of advice you need. if its a 98-01 with clean paint and low miles, you can get a pretty penny
i have about 4k sved and my gsr should bring in about another 3 or 4k i know a gsr wont have enough for beater and kswap and sorry let cousin borrow camrea