I have been looking at the Tannus SOLID tires.
Tannus Tires - Solid Bicycle Tires
Musai Aither 1.1 Road Bike Tires

I have a set of 700c x 25mm tires ready to mount, but I haven't gotten them mounted yet. Soon.

There are quite a few other models for many different bikes. Once I get the winter commuter configured, I'll consider a pair for my bike trailer. I haven't had many problems with the trailer, but it is just a matter of time before I'm stuck.

Anyway, they should take any amount of abuse one throws at them (other than riding forever).