Random black screen and power led stays on

So.. I have this absurd problem with my Aspire Switch 10E. It all started after a bit that I wasn't using it, I charged it and turned it on, after about 10 minutes it emitted a beep and the screen turned black. I tried to turn off and on again, but I couldn't, not even holding the power button, the blue led stays on. I tried to disconnect the battery from the mobo and connect it back, tried to turn the device on and the same happened .. the power led stays on, and holding the button is useless. I can boot it if the battery goes flat, once I charge it again I can turn it on. Now the funniest part.. last time I was able to use it for around 4 hours with a cooling fan pointed at it, I was even able to install windows from scratch..... as soon as I removed the fan the black screen appeared again. I guess it's overheating .. I want to avoid sending it to Acer to repair.. of someone could help me...