Unarmed fighting Gaige would be interested in. He's decent at it, but nothing to write home about. Getting tips from Carn would be something he'd appreciate. Marksmanship contests he'd probably skip out on for fear of pissing the crew off. He is an excellent shot. While he usually carries around his pair of pistols, Judgement and Jury, (Judgement is for big stuff or long range, Jury is for general use. Also, Judgement is now retconned from a .454 Casull to a .500 S&W.) he is well acquainted with rifles of all kinds. Teaching the swabbies is also something he'd be raring to go at.
Once that's out of the way, I could concievably see him hosting a tinkering workshop.
As in, teach people things workshop.