Typically foams for infusion may have grooves to help with better resin flow and also holes through the foam to help resin and air move through the core.
You could also use soric which is available down to just 1mm or 1.5mm I think.
Or the PET core for infusion http://home.nordnet.fr/~jmaquet/french/nidaprod_nidfoam3d.htm
Or to really cut some more weight you may be able to use a normal scrim backed square cut contour foam (that has only knife cut squares and no specific flow grooves) and then also use another mesh style flow medium outside the laminate on top of the peel ply. This something I have been meaning to try. Anybody done this?