Epos speakers - no longevity?

Amp is ok - exhibits well known volume control problems but otherwise clean ~~ same speaker issues with a second integrated amp. Subwoofer is dead - power light on but zero sound.  Speakers sound good except for horrible squeaks at low frequencies playing music and especially movies.  Both woofer surrounds on each speaker appear fine and are smooth/no cracks.  Live in the boonies - no reputable repair nearby - probably headed for landfill to my despair.

This does seem very odd; I wonder about a possibility. If you had the speakers running from the subwoofer, this may have happened... It is possible that you had a power spike/surge which took out the subwoofer and effected the speakers. This would only be the case if the speakers were connected to the subwoofer output, if the sub has this and you were utilizing it. I cannot think of another scenario in which both would be effected adversely, especially if your other gear is fine. Especially if you had this hook up and they exhibited the anomalies in tandem, then I think this is a strong possibility of the culprit behind the failure. 

This is less likely; Not sure based on the description of the anomaly you are hearing whether this would be a potential cause for the squeaking of the speakers, but if you can access the internals of the speaker it's well worth investigating. From the pic on the website the connections to the drivers may be pressure tabs, I'm not sure of the proper name, but ones which slip over the smaller flat leads of the drivers. If the connection is faulty, i.e. the leads have worked loose, then perhaps it might result in some of the sonic issues you hear. 
If I had the speakers and could access the internals via removing a driver, I would. It may save the speakers. If you find that there is soldered connection and there is a fault, that, too, can be remedied pretty easily. Frankly, from the description of "squeaks" it sounds more like damage to the driver, but it's worth a look-see. 

As usual, this is a "Do at your own risk" proposition. You may wish to contact the company to see what they say. 

Merry Christmas Doug , I agree.

Planed obsolescence seems modern audios not built to last. Much can not be properly repaired and is designed to be binned not rebuilt. 

I have older Epos M5 and had M16 and they are built like a tank. No problems and fabulous sound. Seems all subs with electronics eventually have issues. It's a matter of when will they act up. Not so much speakers. I am not thrilled with the newer Epos sound. Their newer soft dome domes have an edge that I never experienced with their metal dome. Usually it's the other way around..