You have a tough one there to diagnose. Do you know how it was running in the hours just before it quit? On one hand the codes might point to a timing-related problem which is causing the low compression. But OTOH those codes might have been set as the engine started missing badly and was shutting down. And the blown rad hoses tends to be related to a possible HG problem as well. But you really would like to confirm the HG before tearing it down. The problem with that is it usually takes a combustion gas test to confirm the bad HG, and I don't think that can be done just cranking it.

If you're planning to DIY this and if you have a few days to wait, one possibility is to send a sample of the coolant and the oil to a lab for analysis (Blackstone is one, but there are others as well). That should tell you if the fluids have crossed over, and by how much. Of course you could also just tear it apart and install a new HG, if you have the time and the know-how. I'm just another shade tree guy, and would be interested to know how a shop goes about the diagnosis, if you go that route.