Well, if it stays running for a few hours, that's running! I think you will need to borrow a monitor from a friend or neighbor or something like that, so you can see if what I mentioned is the issue. Or take your system to their house to test, that would probably be more ideal for the monitor owner
At this point I am ready to start over. New motherboard, new CPU. The machine will start, however, I can't predict when it will start. For example, it will start (ie MB with lights and fans running) so I think I can try the PSU "trick". I power down (chassis power button). Turn off PSU (to begin "trick"). Push and hold chassis power button and flip PSU switch and nothing happens. The machine won't start. I disconnect PSU connections to MB and test PSU with tester (Newegg, Coolmax Power Supply tester) and it tests fine (all voltages correct within 0.1V or better and correct sign). Reconnect PSU to MB and attempt to start but nothing. After sitting an hour, a day, two days (it varies) it will start. But, after turning off to start "trick" I can't get the board to turn on.
I've read your post (somewhere) about shorting pins 5&6 on the main BIOS chip but I can't even try that (not sure what good it would do without a video signal). A new graphic card will not do me any good since (see below) I have no place to "deposit" the drivers for the card.
As I noted above, I think I'll buy and new board/cpu and start over. I should mention that during all these discussions there have been no connections to HDD, SSD or OD (ie, no OS available; it was on my OCZ SSD but I sent that back to OCZ and they replaced it for me). Can you recommend a Gigabyte Z68 (or ASUS) MB?
I appreciate all the help!!!