Was going to say the same thing ... sounds like you're a better fit for a humbucker through a tweed or Marshall.let me see if I got this...
you bought the world's cleanest amp, you're using a Tele, and you want humbucker through a marshall tone.
Have you considered selling the amp you don't like the sound of and buying a Marshall? You can put a humbucker in your existing Tele. That would REALLY solve all your problems.
as for a dirt box, a good old Fulltone OCD sounds like what you want.