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Saw some stuff that looks convincing. Will follow up with before/after pics when we tackle it, whether that's this weekend or next. Thanks everyone for your help!!
Two months and a spray paint shortage later, it's finally done. Went with 2000 degree Engine Enamel paint, while the curing wasn't totally accurate we made it work, zero paint peeling/overheating. Not pictured are new bowls and grates. First some before pics, the bowls had rusted out and the smoker was unusable, the paint was flaking and surface rust was developing. Pressure washed and sanded the metal, sprayed it with two coats. Metal parts were wire-wheeled. First new pic is right after we got the hardware on, the rest are after the curing which left the paint with its first smoke stains. Now to find a cover to prevent future issues, thanks everyone for your help! (PS, under the cover is its "big brother", a New Braunfels that was also a rescue, got that one for free, was tipped over in a pile of mud in someone's backyard covered in rust, loving that one too!)
I believe one of the bowls we found on eBay and the other bowl/grates were from Grill Parts America. Since Brinkmann is out of business you aren't getting any factory-fresh parts, the ones we got were either never used or lightly used. Ceramic coating is still intact. As for cost, the charcoal bowl was around $50 and the water dish was $20. Grates were cheap. Will post pics later