Yep, the CJ610 and the J85 to an even larger exent are prone to high-altitude problems, but here's the deal on the engine in question. The flame-out occured around FL300, at 80% RPM in the descent. It was due for a hot section, the normal grace period was something like 20 hours. (If I'm remembering correctly) the company had good trend on the engine and asked GE for 100 hours which they granted. We had just flown past the lower grace period when the thing ate istself.
We were fortunate to get a relight considering the damge later found to the engine.
As to the gentlemen who suggested that due to the dollar amouint involved one should get others involved? While I understand your perspective, I'm not sure I agree. I don't care how much the engine costs, if I can keep it running even if it means a huge bill, then as PIC, I'm going to write that check.
Without any indication of damage, there is simply no way for some mechanic on ARINC to provide me with anymore information than what I already had. (Particularly the mechanics at this particular operation.)
I don't care who owns the airplane. When I'm flying it, it belongs to me, and the cost of a repair is not going to enter into my decision-making process or tempt me to incur more risk. I'm not going to increase my exposure by flying around single engine while I get a Director of Maintenance out of bed who has a track record of non-compliance, profit-over-safety-mindset and a lack of anything resembling technical expertise, to ask him what he thinks I should do.
And I'm pretty sure if your family was in back you'd agree too.