2 lb foam

The type of spray foam we are using in the joist ends and cantilever areas is called  a 2 pound foam.  This is a closed cell type of foam that is impermeable, so can insulate a space without a poly barrier.  

The foam does such a good job of tightly sealing hard to reach areas and the underside of plywood where you want to avoid a cold floor.  There does not seem to be much other choice than to use a spray foam if you are trying to achieve a comfortable interior.  In the example below we are even sealing in the warm air duct in the bedroom above the front entry.