I used to live in the country and mice (rodents) were a continual problem getting into vehicles. As you have discovered, they eat the shite out of everything, and WILL eventually cause serious damage.
Worse, they breed like crazy, worse still they pee in their nests and will really cause your truck to stink. Finding a nest can be very problematic. I encourage you to find it. It likely has babies in it.
So far, you've been given good advice. I much prefer spring traps, as they are most effective. A glue trap can be drug off into places you really don't want them to be dieing. Do not use poison - they will indeed go to their nests to die - not good.
As to bait, I prefer peanut butter to bacon. Bacon can be gotten off the trap, whereas they will continue to lick at the PB.
For a car kept outside, you have got to stay preventive, and keep traps set beginning in the fall. Discovering them after the fact is bad.
... caught anything?
Not a thing. The part I found strange was that the nest appeared to have been not used, and the fact that there were "micro droppings" on the console for about a week. Usually I can piece things together but this is weird.

Well, not rats or mice but I had squirrels eating my wiring, windshield wiper fluid lines and insulation a few years back- ****ers!!!
Only thing that worked was to add cayenne pepper (they sell commercial products to this affect) to water and spray it all over the engine bay and anywhere I thought they could gain access.
I would assume it should work for mice and rats as well- not many animals can take the heat from capsicum.
Just be careful with the heating/AC for a while...
I did so much re wiring and running wiper fluid lines it really pissed me off.
After I sprayed that stuff the squirrels stayed away. I also started shooting them with a powerful pellet gun in the back yard.
Good luck with your rodent problem- I know how frustrating they can be.