The contrast ratio is just too much for a video camera to handle (or even a
film camera for that matter...) so you won't be able to properly expose both
the view outside and your panel without some creative filtration. One
alternative (rather than totally covering your windscreen with ND) is to get
a split ND (Neutral Density) filter and align it with the line formed by
your glareshield. About 4 stops worth ought to be a good starting point.

Luckily I do have a ND filter, so I will use that, and I'm also going
to screw on the $40 polarizing filter I have, that works impeccably
when filming free-hand.

PS...One suggestion for securing the tripod: See if you can find a way to
exert a strong downward pull. You'll notice serious nature photographers
get this by hanging their camera bags or sandbags on hooks at the bottom of
the center column of their tripods. Chain it or MilSpec bungee cord it to
the floor of your cabin if you can.

I was thinking of doing that, also getting a longer bungee cord and
running it under the seat to the two forward cargo loops, that should
give it plenty of tug, and then I think that bungee-ing it somewhere
into the side rails should provide enough pull to keep it from leaning
around during banks.

Should be a fun DVD to put together as a general guide to the airport
around here, theres only 16 you can land at... fun huh, you can
memorize all the procedures (not that is would be a smart idea).