I think rat too. Nothing disappeared last night, and the poison was still there at 9:30 am when DH checked. A little later in the day we had lost two tomatoes, two more eggplant, and another pepper, plus the poison was gone. The game cam did not catch it.
Tonight I put little hardware cloth collars on all the plants. They could easily dig under them, but it was the best I could do. The strange thing is, they don't eat any leaves, just chew through the stem like a cut worm. What a waste. Maybe they are teething. One of the newspaper cutworm collars was chewed up, -very rodent-like.
We put out some poison water, under a milk crate with large-ish holes to keep out stray animals. The poison chunks are basically gone, but I dumped what was left in the bucket on the ground where the other poison had been. We've never had rodents take peppers or tomatoes before. I don't think the beets and carrots have a prayer.