Good luck. Many years ago, I made a diorama with two 1/72 Mi-24 Hinds, one on the ground, the other 'hovering'.
What I ended up doing was carving a hole in the base for the magnets, and inserting more magnets into the fuselage. As you can imagine, there's not much room to play with in a 1/72 chopper with a passenger compartment, so I couldn't come up with a satisfactory solution for the flip-over problem.
I ended up using hairs, one tied to an AT-3 rail on each wingtip to hold the chopper in place. Visible if you looked for them, but much less so than a rod or some such. I'm not sure how long a hair would last before decomposing though, the diorama was destroyed in an accident some time ago. Perhaps really thin fishing line?
NTM