At least with DiffEq we keep track of a lot of different benchmarks here: https://github.com/JuliaDiffEq/DiffEqBenchmarks.jl and it's always growing. Some of the best benchmarks have come from users who want us to track performance on their problem. Some other libraries have repos around, but not as formalized. We are getting things automated so that we can start helping others.
Your model sounds nice because it can use our automatic sparsity detection and matrix coloring. I'd love to give it a try.
https://github.com/JuliaDiffEq/SparseDiffTools.jl#automated-...