most of my antenna playtime has been at 3.8-29 MHz on automobiles, but I've tried a few VHF designs on my RV over the years, most of which ended in the scrap bin including an Archer wingtip copy (comm, not nav).
I don't think the installation of a foil dipole antenna on the inside of the cabin cover would be problematic, but admit I have not yet finished an RV-10 cabin, and many of you have. From an RF standpoint the antenna install seems pretty straightforward and bulletproof - mostly need to know the effect of the dielectric it's embedded in or glued to on resonant length. For a receive-only VOR/ILS antenna, that can probably be ignored with no adverse effect. Shading would be anticipated as nonexistent vs the wing rib issue some report with the Archer design. Feedline is considerably shorter run to the cabin top. Other DC electrics in the overhead console can probably be run through the center of the vee area, perpendicular to the antenna elements, with next to no coupling effects. Drag reduction vs external whiskers is not nothing, nor are there any unfavorable cost or CG considerations I can think of vs running RG-400 to the vertical stab tip or under the horizontal stab and putting in doublers for the puck, etc.
Just looking for the elegantly simple way to skin this cat. Todd, I saw your post about the embedded ground plane radials in the top for your comm whip, and that is what got me to thinking about this stuff. Now I'm wondering if there's room in the sides of the cabin lid for a mostly-vertical comm dipole to be embedded. 10 watts at 130 MHz can't be that hard to safely tame near people's heads