Maybe drop yourself a better circuit out of the panel if its available, even if its just temporary. We just got done wiring a remodel that was spurred by a fire caused by an overloaded circuit. Are you plugging into a drop cord? If so go straight to the outlet. My 120V welder works fine on a 20 amp circuit but will trip if I'm welding 1/4" material (hot) continuously. Good luck, it's looking awesome!
Lang 84D, Homebuilt Gravity Fed, WSM-18, Weber OTS