Hello,
Here is a short update on my “case”:
As mentioned in earlier post, first logic board on my machine purchased end of 2011 failed only after 1.5 years. I paid ridiculously expensive logic board replacement to the official Apple retail store, which failed after only six months - same symptoms, same GPU fault. As it was out of warranty, I sent it for reflow/reballing (not sure what it was), but did not work for me.
Outcome of my initial call to Apple Care to find a solution was a complete disaster. (I spoke to Senior Advisor who was polite but arrogant at the same time who said he can’t do anything for me). Pretty much frustrated (see username) and facing the choice between trashing a “premium” machine, or getting robbed for the second logic board replacement, I taught that only reasonable solution for me would be to try to make a win-win deal: ok, pay to Apple, but only for the reliable “upgrade” and not for the same rubbish.
I called to the Apple Care again (couple of times) and offered to pay the value for the repair, however, for “another type of board”, or “swap to a newer/used machine”, or whatever solution they can offer me that would fix the problem permanently… but definitely refused to pay for the same logic board rip-off as a “solution”. In a very long call and lot of call transfers within Apple Care, I managed to get transferred to the “Apple Customer Relations” (a “3rd line”, in Ireland - who actually also had to call someone else for the advice). I did not manage to get the “upgrade”, however I got the "exception" for the free repair. I guess I was lucky to reach a right person at Apple, who really listened and understood.
Free repair is obviously better than trashing the money, but personally I would still preferred to pay for the "swap" to something better, because I do not have a peace of mind - yes, I got the free repair and it is not JunkBook Pro any longer… but now it is JunkBook Plus - a completely unreliable machine for me (I easily measure 95°C on the GPU stress test). I do not want to sell it, because I can’t put someone else in a misery… will have to figure out what to do.
In any case, I do not know how it works in all countries and cannot guarantee success, but I would strongly recommend you to call Apple Care and try the same, if you are willing to do the same… take the phone, be more persistent, do not give up that easily.
If it does not work, then I guess you can still try GPU “reballing” process.
(what an ironic name… I do not remember if there was any huge warning in the box not to use MBP in the lap, especially for male users - but for MBP’11 this should seam really obvious, as even its GPU becomes castrated because of the internal overheat)
a special thanks to GavMackem for brilliant posts