All a solid state fuse is, is a high-side transistor (fet or bjt) with a few control components nothing major. I think I've seen intelligent load switches that have everything pretty well integrated.
I searched Aliexpress to see how much a solid state fuse costs and could not find any. Then I did a Google search and came up with this name "Resettable fuse". Aliexpress sells 10,000s of these for about 25 cents apiece. Cheap and simple.
But they are current based, right ? The OP does not want 12v, he says nothing about current. I think we are back to a LDO but that is not 100% guaranteed, because if it is "simply" hooked up, there is a chance it could fail and pass through the 12v (per a Google search).
You can increase the reliability with lots of external components as seen in the LDO datasheets.
But then it is not "simple" anymore.
My guess there is NO "simple answer" to the OP's question with great certainty.
If I were to do this, I think I would determine the current under normal conditions and insert a resettable fuse. I believe this is "simpler" than a LDO. You just need a set of fuses to use with different circuits.
How about use a buck -> LDO -> resettable fuse (seems pretty safe ?)
and the LDO should reduce some ripple. Does this meets the OP's requirement?