Thanks for the suggestions. After looking closely at the "stock" door latch, it looks like it's held in place with #8-32 SS screws going into "Screwserts" (sp?). Thatâ€™s the little "threaded pop-rivet like" things that you use to secure a screw into thin metal.
I looked at the two latch sizes at McMaster-Carr, mentioned by DaveNH. Then to compare pricing, I called Masterbuilt. Masterbuilt sells the "stock" stainless latches (with screws and "mounting hardware") for $9.99.
So, I ordered from Masterbuilt. I am curious to see what exactly is "mounting hardware". Maybe it is some type of screwsert.
Will report what I actually get later,