I make several different stainless single walled stoves that nest inside many popular backpacking pots. I have owned and made many double walled stoves but I prefer single for the lightness and the capability for larger fire boxes.
My woodstoves all will easily boil their prospective pots with a single load of wood when lit from the top. Both Esbit and alcohol work very well with this type of stove body.
Using stainless mugs can be a MYOG project for you but step bits are pretty expensive and dont last long.
A double walled paint can woodstove is a nice MYOG project that doesnt require nearly as much work and they work great. typically the finished product will be 4 to 5 oz
the stove shown below is one of my stoves sized to nest in the SP600. weight as shown is 2.85 oz. I also make them to fit in the MSR TITAN KETTLE, the TOAKS 550ml pot form Litetrail, and several others in different sizes and shapes.
Stainless is extremely hard to work with but will last a lifetime. I have many stoves that have had several hundred fires in them with no corrosion, rust, etc.