How long are you in terms of the guitar stuff? I think getting the right amp may be the though part. Or just getting the proper speaker, 10" jensen elements, open back, small enclosure. Last one sounds more like it is some solid state amp or preamp going direct à la Guthrie. I think a JC totes would pull that off.
I think an SM57 could work, I would personally go for like an e906 or something instead if it is not out of budget an MD421. Ribbons or a more vintage voiced condenser if you can. There are some nice condensers for like €500 (octava, sE, warmaudio) you can get if the SM57 doesn't do it. Also you may wanna look into getting a nice mic pre, really makes a difference, especially with dynamics. My old guitarist had an audient i think? it was cool it had a built in hpf all 8 channels and you could select the impedance which is a game changer for 57s. There are also some mods you can do to the 57 like a gizmo or
this which mkaes it a bit more hifi.
Finding a nice room is key. I feel like you can hear a lot of the air moving as opposed to it being an artificial reverb. Maybe you could experiment with room mics but I fel first try backing off the mic from the amp and work with the distance from amp to cone. The band stuff could be more close miced to cut through more, I feel there is more high mid prescense in those cuts.
You may wanna boost some low mids hpf at like 150hz maybe? boost maybe like 5k for some shine. I cant tell how much is eq and how much is the sound but instinctively i feel most eq is done to match the other stuff rather than getting a tone. Some subtle compression, not too fast and apparent to allow the nuance come through but still enhance the roomy feel.
Overall i think it sounds like he has a very natural tone. Getting the princeton and you're 90% there depending on how authentic gretsch repro pickups are (if dubkitty is still contactable thru here ask him he knows gretsch, maybe chank knows aswell). But long story short learn to work that 57, dont be scared to try stuff with weird positionings. Albeit i feel there is not at all a lot of studio trickery.
Practicing may also be a technicque worth investigating but do it at your own risk. I am not very knowledgible in that witchcraft
Great stuff btw will check him out more!