If I'm not mistaken, dish mesh is considered an expanded metal. Depending upon where you live, you may be able to source it locally, Tek2000 or send a sample to someone like
Niles metals and ask for a distributor. After trying a lot of different options, let me share a few suggestions for anyone considering re-meshing their dish or even just a few sections. Tools you will need are hammer, nails, metal sheer and good utility knife with extra blades. I used leftover Simpson joist hanger nails as they are short and thick but use whatever you want. You will want one 3/4" and one 1/2" thick sheet of plywood.
Remove a section of mesh to serve as the basis for a template. It doesn't matter if it has holes, as long as the perimeter is reasonably intact. Put that on top of 1/2 sheet of plywood and draw around it with a pencil and then cut it out. My advise would be to use a jig saw to cut ouside the pencil and then use palm sander to get closer to pencil mark. Something to consider is the mesh panels are not straight like a piece of pie. It took me some thinking to appreciate this but look as the shape of an orange slice and you will appreciate the sides of dish mesh panel have a slight arc. If you are going to error in size, be slightly larger as you can always trim off excess.
Mesh typically comes in a roll 40-42" depending on supplier. For a 10 foot dish mesh panel are ~5 feet long and 2 feet wide at perimeter so cut off ~5.5 feet and then cut on diagonal to have 2 triangular shaped pieces, each of which should be a little bigger than your template. Please verify exact measurements with your template before cutting mesh.
Place 3/4 plywood on top of table or work surface, place triangular shaped mesh on top and then put your temple on top of mesh. Put 4-5 nails around perimeter of template and underlying mesh in place. Now take your utility knife and repeatedly score around the outside of edge of your template. I'm right handed so I typically applied pressure to top of template with left hand and cut with my right. Don't forget nails are there are running into a nail with your fingers doesn't feel good. After cutting away mesh remove nails, trim off any excess burrs with metal sheers. Bare metal mesh is sharp so I'd advise sanding down edges with 60 grit sandpaper.