There are normally-closed SSRs that have depletion fets inside, but they could fry form too much power.
Ixys is making self-protecting SSRs that can be used as both switches and current limiters.
I recently designed a 32-channel VME SSR board. We measure the voltage drop across the switching mosfets plus a small padder resistor, and run some FPGA code to protect the switches. The diffamp is the interesting part.