I found some structural strength high density foams to bridge the gap:
Owens Corning Foamular 1000 XPS 100psi
And
6 lb Polyurethane Mix & Pour Foam in stock ship same day | Fibre Glast
125 psi
I could put 1/2" Wonderboard & tile on top of the high strength foam.
I think the Foamular would be easier to use, cut to size & bedded with low expansion Great Stuff, which is about 2# density SPF, I think.