BTW in the real world one particular airplane had a trim problem fixed by making the nose-cone asymetrical !! This was discovered after the fleet "pig" hit a bird & the sheet-metal guy ended up with a spare stiffener after the rebuild -- so he just threw it in the bin & said nothing.
Pilots later wondered what had happened as that "fleet pig" was now the best neutrally-trimmed plane they ever flew ......... told to me by the guy who did the repair ..... he thought he was in real trouble when the maintenance chief asked him about that "asymetric" nose-cone & where had it come from :-\
Maybe you can do something with the nose as well as a veerry off-set fin ?