Ki-61-I-Tei is the AH version. Its weight and specs will be slightly off data sheets of the Ki-61-I (of which there were a half dozen types) as a result of the 20mm nose cannons and slightly different nose from other Ki-61-1s. Rated alt @32,000 ft and you can get close to that in AH.
The Ki-61-II did not see any significant service in WW2. Almost all were prototypes, or variants of various prototypes, built in very small #s. The real "Ki-61-II" in many respects was the Ki-100 conversions.