The "B2" doesn't denote the block, just the tune of the engine. The Accord LX and EX share the same block, therefore the head should fit exactly. You will need to acquire some extra wiring and such from an EX to make he VTEC work. Other than that, it should be a very straightforward operation...I think.

BTW, doesn't the H23 have 220hp? Or am I mistaken?