I like rule

Libby Lux, lead singer of the Bridge City Sinners, fits the bill pretty well, but as you say, no mohawk. I feel like once you get into the folk-punk/psychobilly scene, the default is more often rockabilly greaser/pinup than punk but there's exceptions to everything.

Edit: Also, their particular flavor of satanic folk-punk is particularly good, if you're into that sort of thing. I think they do a pretty good job of writing catchy songs with a mashup of B-movie pulp (a la The Cramps or the Misfits), occult themes and imagery, and modern relevant topics like mental health issues and substance abuse. 9/10, highly recommend, especially their first 2 albums, the first of which has my all-time favorite version of "St. James Infirmary Blues"

mohawk & emo

When did mohawks become emo-coded??? They were a staple of the punk scene in the 80's/90's...

banjo + punk/goth aesthetic

I thought that's what I was describing.