I have worked on PMOS-only muxes, so a NMOS-only is not
entirely insane. However you need to approach this from
the application inward, specifically signal range and supply-set.
This in itself will tell you whether a single-species mux can do
the job.
If you need to go rail-to-rail, in and out, then your NMOS
would need a charge pumped over-the-rail gate drive supply
(and this in turn might violate device ratings at an unfortunate
input, output, supply corner, if your MOSFET was chosen for
supply range alone). At shis corner the PMOS of a CMOS TG
would be taking up the slack using within-the-rails gate bias.
But your numbers up top indicate that NMOS would likely do,
as you've got an "on" overdrive surplus and a negative enough
"off" rail.