You can do 10-bit 4K N-Log with Nikon Z mirrorless and Atomos Ninja V. (not internal)
In a few months, the firmware update will enable 12 bit Prores RAW. Not a bad investment at all.
Not quite sure of other options out there unless you go something full body camera in the $4k range. Maybe someone else can chime in.
If you’re worried about FOV, just get a really nice wide lens to counter the crop. You don’t need adaptors, just good glass.
4k video will have more color info to downsample than 1080p. Not to mean artifacts won’t go away, but chroma key will work better as there is more color to work with.