You might find the easiest way to get a good joe tone with an amp nothing like his is to keep the amp on a really nice clean tone and find a good overdrive pedal to drive it. I use A Vox AC15 hw and a Fender Vibrolux. Neither are close to amps that he uses but I get a really good Articulate Joe'ish tone using some overdrives I really like. I run into a Tim Pedal and then into a Fulltone Fulldrive. I use the fulldrive as a light to medium overdrive.. and use the Tim Pedal as a boost with very light drive. Together they are pretty creamy and heavy... great for leads that dont get mushy on the low end.
Its working for me. I would try out some pedals... Wampler makes great stuff, I love Fulltone pedals... The OCD is a great rock pedal, high gain... The Fulldrive is my favorite OD pedal ever... The Fuchs Plush drive is an excellent Joe'ish pedal...
Love Pedal makes some stuff... I dont care for most of it. Egnator's are great amps but they have a unique sound. If you can dial it in its probably because you have a sound in your head that is more Fender/Marshall... Joe'ish kind of sound.
Pedals may get you closer... Good luck.