Your 222 must be an early 70's model for it to have an H-deck. Yes, H-40 is the correct model number and it is a 38" cutting width.
If you removed the blower, then you already know that you must remove the drive belt first and then pull the spring-loaded pins on the end of the frame to allow the blower's mule bracket to tilt down and then lift off the tractor.
The deck has a similar mule bracket that attaches the exact same way. There is a steel frame that is attached to the mule bracket that extends rearward over the top of the deck and connects to the deck at four points.
Use the link below to take you to Ingersoll's home page.
Then click on "Illustrated Parts List"
Scroll way down until you see the title "Rotary Mowers" and click on the J-40 PDF. As Case made minor changes to the decks, the first letter changed from H to J, K, L, M and N but they are all very, very similar.
The exploded diagrams will help you understand what parts you do have and what parts you don't. If all you are missing are the pins, then any decent hardware store should have those in stock. They're just a plain 1/2" diameter pin with a head on one end and cross-drilled hole on the other to accept a "hairpin" or "blanket pin" type of fastener.
If you are still having problems, send me an e-mail.