VTEC Stock, swap a dead B17A block for a B18B Block or something.

Hey, I got a 93 Integra GSR. It has the B17A block DOHC VTEC. The car burnt up all the oil way faster than I have ever been used to and resulted in it overheating and locking up. Do you know anything about taking out the B17A block and sticking in something like the B18B non vtec and use my vtec head. I have seen all sorts of things about taking a non vtec stock car and turning it into vtec by adding a vtec head but nothing on using the vtec head and all but adding in a non vtec B Series block... and if this all would work which block would be the best for me because I've just had one hell of a time finding the B17A Block.