Success!! I repeat, Success!!
I figured it out.
Should have re-read earlier posts.........like the one where I said I would unplug the HDMI and try DVI.....
So, ignore the above. I'll explain below for others surfing the web and having this trouble. Maybe it will help them.
Originally, I ran HDMI from my vid card out to the TV/monitor. The screen came right up, no problems.
HOWEVER. The MONITOR (which is actually a TV) just picked up the HDMI port. It did NOT switch to 'PC' mode. In fact, I couldn't manually switch it either just now. So, as far as the TV was concerned, it was just displaying everything like it had a Blue Ray player plugged in. Since it wasn't in PC mode, and could not be with HDMI being used, it wasn't doing whatever monitors do to display and react to changes. Heck, it occurred to me that when I said '....a change in resolution doesn't make any difference...' that the resolution itself wasn't even changing! Duh.
I don't entirely understand the why but I get it. Anyway, the HDMI had better color than the DVI but I can fool with that in the settings. Refresh rate is a lot better though. Not as blurry. I just thought it was a cheaper video card thing.
Anyway, if anybody understands the details of it I'd be happy to hear.
Thanks again for all of the input and attention. Much obliged!!