A big reduction in coyotes may very well be why your bobcat population exploded.
A few years ago we had some professional trappers declare war on the coyotes. A couple years later the bobcat population increased at least four-fold. The trappers then started making their sets specifically for bobcats, and trapped more bobcats in one season than the prior three.
Pick your poison.
If you greatly reduce the coyotes, you get more bobcats.
I've about given up, and thinking best thing is to focus on habitat.
Actually not giving up on trapping & killing to help keep predators from overpopulating, just realizing that we will never get rid of coyotes, and their reduction on one hand can create an increase of other predators.
I'm near equally concerned with predation on turkeys as deer, and believe bobcats are worse for turkeys. Fewer coyotes may also mean more raccoons.