When I stiffened the fiberglass sides of the boat for my radar arch, I used regular old exterior plywood, in two 1/2" sheets (1" total).
I epoxied the bejesus out of it, and feel pretty confident that it will never rot as it is in an area that won't get wet.
When I applied the plywood to the underside of the fiberglass, I first used one of those orange "wire" brushes to provide some "bite" into the fiberglass.
Then I used some West System 404 adhesive filler and mixed it into epoxy - to the consistancy of peanut butter as they all say. I was able to then trowel the filler onto the inside surface of the plywood like plaster, then pushed it up into the inner surface of the fiberglass.
The adhesive filler was for gap filling, because the plywood was flat, and the fiberglass did have some bow to it.
Here are some good references:
http://www.westsystem.com/ewmag/21/better_way.htmlAlso from West Epoxy:
404 High-Density filler is a thickening additive developed for maximum physical properties in hardware bonding where high-cyclic loads are anticipated. It can also be used for filleting and gap filling where maximum strength is necessary. Color: off-white.