Another reasonable naming option would be to follow the jazz example, and go down the "Martin Lennon Trio / Quartet / Stonking Great Massively Expensive Band" route, although it’s not really appropriate for the rootsy / bluesy / dirt-under-yer-collar style of music. Which is a shame, because I had such high hopes for "The Martin Lennon Jolly Minstrel Three", I really did.
The trouble is, since he’s going to insist upon subsuming his identity within a group (which isn’t necessarily a bad thing - I like the first Tin Machine album, I really do! ), I’m not going to be much use to him when it comes to the name-calling - anything serious I try to come up with sounds either incredibly portentously idiotic, or simply totally genre-inappropriate...usually both. As a result, my ideas always collapse, rapidly, into the realms of unfit-for-purpose daftness and inanity - as you’re (inevitably - you probably guessed where this post was heading a while back, didn’t you?) about to find out.
Here, (in best Blue Peter
"Age Before Beauty", "All Our Own Hair", "The Prostrate Prostates", "Sanatogen Supermen", "Moobs Alert", "Early-Bird Buffet Gigolos", "One Big Slipper" (in case there’s still somebody, somewhere in the world, who doesn’t know this gag, it’s a Billy Connolly
Of course, it’s just going to be massively downhill from there...let’s start the next lot by going a little bit ’metal’ (although let’s be honest, it’s almost an un-parody-able genre, so one small addition to the canon should suffice):
"Demon Whores of the 13th Circle", "Slightly Soiled", "Your Cousin’s Old Enough"