You need to solder it, not braze. Use Silvabrite 100 or any other silver bearing solder. I would also suggest a silver bearing tinning flux such as Oatey's. The most important part is not overheating the stainless and causing the surface to rust. It's like soldering to a copper plated Holdrite bracket but even more finicky. Heat your coupling first and you'll be fine.
To be honest, if you're uncomfortable with this you may want to just rent a propress tool or use a compression fitting. I've soldered to the stuff in crawlspaces and basement ceilings, not sure I'd be okay burying it in a wall. You can always tin the end of the pipe first and then put your coupling on.
For a brief period in time copper was more expensive than stainless due to the housing boom. Look up "TuboTron" Stainless Steel pipe.
To be honest, if you're uncomfortable with this you may want to just rent a propress tool or use a compression fitting. I've soldered to the stuff in crawlspaces and basement ceilings, not sure I'd be okay burying it in a wall. You can always tin the end of the pipe first and then put your coupling on.
For a brief period in time copper was more expensive than stainless due to the housing boom. Look up "TuboTron" Stainless Steel pipe.