My setup choice would be building the b16a if only 5-7K
Cams + valvetrain (2-3K, new)
Higher comp pistons (B16B) (6-700?, not sure, new)
ARP bolts for the bottom end/main studs (480+, new)
Management(2-4K, unichip, emanage, hondata, choose your poison)
Now that's nowhere near the 5-7K budget you mentioned, but stripping down the engine will reveal many seals and stuff you'd need to replace, so that's what you should do with the rest of the money.
I've spent more than 3K just to mod the B16a head alone, so it's obvious your mileage will vary.