What would their party name be?

Bled Zeppelin, and they would open a dining establishment with their quest rewards called the Bard Rock Cafe.

Kenku thief named Robin Banks

Full Kenku bard party called the Counting Crows

Darksteely Dan, clearly.

Waterdeep Vampires, started out as a drinking club of the bards of various famous adventuring parties, like werewolf bard Keith Moon of The Whom, high Elf bard Jontiel Lennoniel and Aasimat bard Ringo Starrfall of The Beetles, and Shifter bard Mickey Dole Z of the Monkees.

Current members include merfolk bard Johnny Deepp, Human bard Koe Qerry, and former barrel maker turned bard Alice Cooper.