I think you would like the Mesa 410 (new ones). Those have a great sound all around and great low end content. The 410HLF, in my opinion, is not a good choice. It has too much low end and not much else in the tone department. The mids seem absent, not much punch, and not much in the string detail department.
When I think thick low end, you need something strong in the 100hz to 200hz range with a decent response in the 50-80hz range. The combination of tone in those frequencies is key to being hear on stage and for people to realize - "You have a thick tone".