These treatment decisions are always hard, I think, and it can feel like a lot of pressure on us as patients to make these decisions.
I think the Mayo Clinic doctor's opinion that the increased dose of Humira hasn't changed anything and therefore Humira may not be working for you seems reasonable. And starting 6mp and Allopurinol seems reasonable.
My concern is how are you going to manage the changeover? I'd be wary of assuming that Humira does nothing, and even if that's true I wouldn't want to leave you with no treatment until the immunosuppressants get to therapeutic levels which takes about 12 weeks. Have you considered trying Exclusive [wiki2="Enteral-nutrition"]Enteral Nutrition[/wiki2] as a bridging therapy?
I'm also surprised that neither doctor has suggested changing to another biologic, perhaps Entyvio.