Is it safe for Mac not to sleep for over a month My 17 Inch, Late 2011 MacbookPro has a problem with its discrete graphic card it boots with vertical pink stripes screen then switches to a gray screen where it remains stuck for a while and then automatically reboots. 

I googled the problem and figured a workaround. I just need to wait for the gray screen where my mac gets stuck, close the lid and wrap my mac with a blanket until it overheats and auto-shutdowns. I immediately then turn-on the overheated mac which will make it boot with the integrated card, and problem solved! After I login I use gfxCardStatus to set the graphics to integrated only. 

The problem is if I close the lid to sleep my mac at some point, it will never open again unless I redo the entire overheating process. I'm aware Apple recognized the problem recently and is now offering free fixes to it but where I'm living right now there's only Apple recognized providers but no official Apple store. The Apple service provider representative told me that they will have to send my Mac abroad to fix it and that can take over a month which is too long for me... I have a project going on and I have to wrap it up before mid May.

My Mac works perfectly with the integrated card, and I'm thinking to keep it awake for about month until I finish my project then schedule a proper repair with AppleCare, which sounds safer than overheating my Mac every time I boot or wake my mac. My question is: is it too bad for my Mac to stay awake for over a month?
Won't fix your issue, but, anecdotally…

My Mac has been running 24/7 since 2008, never sleeping &amp; only ever rebooting/shutting down for OS updates/hardware clean etc. 

No issues so far.

So I'd say, yes, it's perfectly safe to leave it awake, so long as it has adequate cooling.