Hi Uddybuddy,
Nice idea, I like it. Heat resistance is the difficult part. Strength is very easy.
The only available wires that resist a camp fire are
stainless steel. Copper alloys don't fit food and strong heat, other heat-resistant metals are overexpensive and less available. Since red heat would destroy the heat treatment of steel, the best choice is an alloy that responds little to heat treatment, and usual stainless (called austenitic) is just fine. NiCrMo 17-12 = AISI 316L (marine stainless steel) would resist oxidation better if you find it; NiCr 17-7 = AISI 301 is more common and should do the job, just getting coloured more quickly by superficial oxidation.
https://en.wikipedia.org/wiki/Stainless_steelI expect no worries from reactions with the food, even at heat. If it were for me, I'd trust it without further interrogations. For you: your health, you decide. If you want to market it, you'll need to investigate more. Also keep in mind that some proportion of people (1/3 of Northern European women ) are allergic to nickel, and austenitic steels contain some. That's enough that these people avoid spoons and coins that contain nickel; as a roasting tool not in contact with the skin, I expect no problem.
Grills are more often of banal steel covered with chromium. I feel this can't work here because the chromium layer bursts on bendable parts.
If you find a stainless steel wire thin enough to bend, fine - but it should be like D=0.1mm, hard to find. What's available is a (stainless!)
wire ropehttps://en.wikipedia.org/wiki/Wire_ropewhich stays bendable at bigger diameters. At the first heating it will lose 9/10 of its strength (obtained by cold work) but it's still more than enough. Just choose the thinnest you can find.
Cutting such a hard wire isn't easy, but the biggest difficulty will be to make nice ends that don't hurt the user (consider cutting with a torch). If you find some special parts (heat-resistant! Thin stainless sleeves?) to crimp on the ends, to close loops and make harmless ends, that might work
https://en.wikipedia.org/wiki/Crimp_%28joining%29often available from the same supplier as the wire.
Then you must find a triangular mesh pattern. Rectangular would be easier to imagine.