The unique tone of hollowbodies come from the fact that the top resonates. Filling the guitar with foam will only lessen the acoustic sound of the guitar. Some of the greatest tones come from the guitar 'hearing' the amp.
My first suggestion would be to get rid of the effects and only use a distortion pedal. Also, facing the amp another way can help.
I have 2 different hollowbodies currently and have had a few others in the past. Keep the signal chain as simple as possible. Try a smaller amp and drive the tubes harder.
Johnny