Maybe some sort of biological control should be introduced instead. Guinea fowl on steroids.
If we allow ourselves a bit of science fiction, a drone flying over tall grass and burning every questing tick with laser would likely reduce the populations as well. A questing tick sits on the end of a blade of grass, waiting for a host; as such, it is necessarily visible.
The fucking republicans got rid of it, calling it "watching flies have sex".
Now, republicans and DOGE fucked around. Now, Texas and southern states are going to find out.
https://www.msn.com/en-us/news/us/doge-slashed-usda-staffing...
But since you're being needlessly snarky about it (it's not productive to suggest killing "the rabbits and chipmunks and mice and squirrels"), here:
https://pubmed.ncbi.nlm.nih.gov/25118409/
>After hunts were initiated, number and frequency of deer observations in the community were greatly reduced as were resident-reported cases of Lyme disease. Number of resident-reported cases of Lyme disease per 100 households was strongly correlated to deer density in the community. Reducing deer density to 5.1 deer per square kilometer resulted in a 76% reduction in tick abundance, 70% reduction in the entomological risk index, and 80% reduction in resident-reported cases of Lyme disease in the community from before to after a hunt was initiated.