I second the suggestion to look into mechanical fasteners like rivets. I've made quite a few wood stoves of various kinds, as well as alcohol stoves and a butane stove, and after a lot of research I completely gave up looking for high-temperature adhesives for this application. I tried the most heat-resistant silicone on the market (a Cotronics product advertised to 800F), metal/ceramic-powder-putty epoxies like JB Weld, intermediate-temperature solvent cements like "Hi-Temp Lab Metal" (up to 1000F), and ceramic solvent cements advertised to 2000-3000F, and they all failed.
There are tapes made of fiberglass, metal foil, ceramic fabrics, Kevlar/Nomex/PBI, and Kapton (polyimide) film, but they need an adhesive, which is typically a silicone. So, they are no better than just using a silicone adhesive by itself, which only works if low bond strength is acceptable and temperatures stay below about 600F.
There are bonding agents that are plenty strong, but they can't take the heat, and there are high-temperature cements, but they have the strength of a saltine cracker. You just won't find any glues or tapes that are reasonably strong and survive temps above 600F.
Spot welding, brazing, and silver solder can be a tidy solution if you have the skills and equipment. Rivets, nuts and bolts, and other fasteners can work but often don't look very neat. I've also successfully "sewn" perforated metal pieces together with wire and fiberglass or ceramic fiber thread. Crimping an overlapping tag or tab-in-slot attachment can work well with sheet metal, too.