As a fan of startup and flyby videos I feel your pain. I would try a Shure SM57 since they often used in high [[url=http://[/URL]="http://bouldersound…"]SPL[/]="http://bouldersound…"]SPL[/] applications like a couple of inches off a snare drum. They are also quite common so you should be able to borrow or rent one before buying. An inline attenuator might also be a good idea. But if the mic's diaphragm can't handle the levels no amount of attenuation later in the signal path will help.

Also, if you are recording separately, you can place the mic farther away or even place a baffle in front of the diaphragm. An F22 likely is putting out upwards of 140-170 dB at takeoff. VTOL would be slightly higher.

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For a battery-powered portable set, I would try a pair of Shure SM57s on stands in a spaced configuration (5 - 7 ft apart) feeding the XLR inputs of a Zoom H4N. Unlike the built-in electrets on the H4N, the SM57s will cope with SPLs in excess of 150dB. I couldn't be the recordist at levels greater than that, even with a good set of ear defenders.

Some good suggestions there!
Im liking the look of the Zoom H4N but are there any other similar devices at lower prices?