but on the other hand, putting an h23 head on your f22 block might be a powerful possibility. and cost you less than doing an h23 complete swap.
but i'm not completely sure. you'll have to talk with others about it.

*edit.
now that i think about it, since the .1 liter displacement is probably bore, the combustion chambers are the same diameter. which wouldn't fit on the 2.2 bottom end.
so you'd either have to buy h23 pistons and have your block bored over .1 liter, or just buy the h23