:/
I feel your pain, I build computers at my job, and the 'it runs, but there's no picture' problem is one I've oft dealt with. it can suck, tracking down the error.
things to consider:
you've an award bios, here's the beep codes
http://bioscentral.com/beepcodes/awardbeep.htm
and indeed sounds like a memory problem.
yes, test it with some good memory, that's usually the first thing I'd do in your situation.
you say it turn/stays on ... do you have to hold the power button for a few seconds to get it to turn off?
and, did you reseat the proc? ... just because, it's not a bad idea to try that too if you're stumped.
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Therell be days/When Ill stray/I may appear to be/Constantly out of reach/I give in to sin/Because I like to practise what I preach