I have built a few eg's with h22s. the SH motor is a great motor for the eg. however, the atts tranny sucks. and is a pain in the ass to make work in the eg. what you want to do is get the h22, then get a manual tranny from a prelude or accord. the m2b4 is a good one, hardest to find.
the SH block is a little different than the others, the mount place on the back of the motor for the half-shaft mount it different. its missing holes. they can be drilled and tapped, i recomend you have a machine shop do it.
here is some info from over at honda tech on the trannys available, and the codes. the code can be found on a sticker on the front of the tranny.
ussually has a barcode next to it.
Prelude
M2A4 - JDM 4G
M2B4 - JDM 4G LSD
M2F4 - USDM 4G
M2U4 - JDM 5G Type-S ATTS/USDM Type-SH ATTS
M2Y4 - JDM/USDM 5G Base
M2Z4 - JDM 5G SiR S-Spec/JDM 5G w/ LSD option
Accord
T2T4 - JDM Accord SiR-T (F20B) LSD
T2W4 - JDM Accord Euro-R LSD
U2Q7 - EDM Accord Type-R LSD
M2A4 - 3.307 - 1.950 - 1.360 - 1.071 - 0.787 - 4.266
M2B4 - 3.307 - 1.950 - 1.360 - 1.071 - 0.787 - 4.266 LSD
M2F4 - 3.307 - 1.950 - 1.360 - 1.071 - 0.870 - 4.266
M2U4 - 3.285 - 1.956 - 1.344 - 1.034 - 0.812 - 4.266 ATTS
M2Y4 - 3.285 - 1.956 - 1.344 - 1.034 - 0.812 - 4.266
M2Z4 - 3.285 - 1.956 - 1.344 - 1.034 - 0.812 - 4.266 LSD
Accord
T2T4 - 3.285 - 1.956 - 1.344 - 1.034 - 0.812 - 4.266 LSD
T2W4 - 3.285 - 2.090 - 1.481 - 1.071 - 0.812 - 4.266 LSD
U2Q7 - 3.285 - 2.090 - 1.481 - 1.071 - 0.870 - 4.266 LSD
check out this article.
http://www.preludeonline.com/f89/atts-removal-147883/