I have some cheap (thin) alum and SS pots that I use at times, and to avoid scorch spots I use a heat diffuser plate.
This is not a high tech piece of equipment. It is simply a piece of 3/16 plate steel, about the size of a frisbee. Thicker would be fine. I worked in a restaurant several years ago, and we used these on the gas stoves.
Anyway just beg, borrow or otherwise procure a slab of flat plate steel as large or larger than the bottom of your brew pot. Does not have to be pretty. Or buy one off Amazon, the cheap ones are alum based and can warp, the good ones are powder coated steel. Best bet is to find a local metal fab/welding shop and hit them up about closing time with a 12 of some primo A/B product. They will have tons of this stuff tossed around the work area and everybody will get a great deal.
Put the steel plate (diffuser) on top of your gas or elec stove element, and the boil kettle on top of that.
It's a real low tech solution to scorching in thinner pans. Yes it takes longer to heat up to a boil, but you are doing a long boil and once it gets hot it will stay hot.
Anyhow this works great for me. No plumbing or electrical wiring involved!