Im intrested in why you would get rid of your H22 head for a F22 head ?
Getting back on topic though your chassis with a b series is for the most part a straight swap. If your long term goal is to wire tuck, paint the bay, etc. now is the time id reccomend to do it ! Save yourself the headache of pulling the engine all over again and do it all at once. Shoot me a PM if you want me to give you a quote on performing the basic swap..
Here is a EG with B series we completed a few months ago as an example of our work
Before:
After: