Pop is all about the vocalists and lyrics.
really? pop is all about what's popular with the masses...and the most reliably popular stuff has strong enough melodies that an objective audience can identify what's being played
without vocals and lyrics...
IME, if the tunes are picked for their "universality" the audience has no problem dancing/participating because
they know the lyrics themselves! our audiences can be seen mouthing the lyrics and singing as they dance and gyrate. if my band played our instrumental version of any pop tune: your date would want to get up and dance. groove is infectious.
our OP has it right:
People want familiar melodies. Offering them in new contexts can work, but familiarity makes for accessibility.
The only thing I want to change, really, is to update the repertoire to include recent popular music that has been covered by other jazz artists -- the Bad Plus, Scofield, Brad Mehldau, Herbie Hancock, etc. and move away from playing so many old standards. To do that, I need a book of charts and players who can read and improvise well. If I can add a drummer and book it as a featured act, I will, but I plan to start without a drummer and add one if I can find the gigs for one.
that's a different model than my band's --- we can be quiet (for some gigs it's expected), but we're a
party band in our natural state = keys/guitar/bass/drums + 3 horns. we shake the rafters when that kind of presentation is expected. also, we're not doing tunes that other jazz artists/bands are doing, we pick tunes for their 'popularity' through the modern ages: beatles, madonna, led zepplin, the police, prince, sly stone, joe walsh, james brown, doobies, hall and oates, mary blige, paul simon, whatever, yada yada.
charts? IMO/IME well-written DIY arrangements are the best!

reliable music notation software allows for easy key changes and arrangement modifications when necessary, and makes mashups and medleys a breeze (e.g., copy and paste).
it's a given, however, that the musicians have to be able to read (staying 'current', constantly changing setlists, getting a sub, etc.).
good luck with your instrumental music, i hope you can work things out!
