well you did NOT list what your wheel size is in its width,
just cause your old tires are 22x8x10, doesn't mean your wheels are 8 inches wide, it means that the tires should measure 8 inches wide,
which means your wheels are most likely a BUNCH narrower than the tires are
so, a 1 inch difference should NOT be anything to worry about, minus less traction and side wall support, maybe some handling differences too!
but not a HUGE amount I would think!
so again, 22x7x10's should fit your wheels just fine!
just cause your old tires are 22x8x10, doesn't mean your wheels are 8 inches wide, it means that the tires should measure 8 inches wide,
which means your wheels are most likely a BUNCH narrower than the tires are
so, a 1 inch difference should NOT be anything to worry about, minus less traction and side wall support, maybe some handling differences too!
but not a HUGE amount I would think!
so again, 22x7x10's should fit your wheels just fine!