I really dislike the idea of a B16 in a integra. Might as well leave it LS and throw a vtec head on it.
that k series swap your talking about is going to run you a couple G'z.If you got money to blow like drake and wayne then go for it. If not i would get a vtec head and build that LS/VTEC or i would get the GSR swap like you stated and build and boost that and then Call it the day.