I've built three profile fuselages with inset tanks. The only one I have flown so far had a nice even run with an LA-.25. The nose seemed plenty stiff, and with a cheek tripler on the left, it was very stable. Here are some pictures to show the general arrangement and construction technique as applied to two similar fuselages. I had to move the tank overflow outboard some to clear the fuselage. I didn't go full depth, hoping that a slight "sandwich structure" thickness behind (on left side of) the tank would enhance stiffness. I thought that a 1/64 ply bottom (left side) of the recess would help. However, these seem so stiff with the tripler that I'll probably just leave the tank recess out of the fuselage blank next time, rather than waiting and "milling" most of the way through with the 3/8" boring bit. Neither takes much time though.
The fuselage has a 1/2" thick balsa center and 1/16" laminated doublers on each side, the nose doublers being plywood, while the aft are balsa, with a trussed aft fuselage core. 45-degree biased .56-oz glass and epoxy, with no excess are applied over the skin. These fuselages are very stiff and torsionally resistant.
Anyway, I was satisfied with the engine run and stiffness this technique provided.