Good comments everyone!
The reason I wanted to restrict myself to a single slot is because I've been in situations in the past where the only PCI slot left in the computer was next to the AGP port. In fact, that is the situation in my dual 850 right now. While it is preferred not to fill this slot, the PCI card I put in was a USB 2.0 card whereby the back end of the PCB was cut diagnolly to still leave the graphics heatsink mostly uncovered.
I suppose we could lighten up the 1 slot width rule as I beleive my two Tualatin boards have one more PCI slot than my current machine, but it would be preferred to have the two-slot graphics heatsink as stock, like with the ASUS AH3650 card which Sliderider indicated.
My time frame is long and budget is small. You can find most things of this size for under $20 shipped with a little patience.
Swaaye, a dual PIII-S 1.4 GHz is my upper limit. I may have a sort of genetic mutation which doesn't let me to use anything newer. This mutation seems to be limited to motherboards/CPUs and hasn't spread to graphics cards. In actuality, I just don't get the same buzz using anything beyond a PIII.
My past experience with ATI AGP cards wasn't the best; they either ran hot, or the fan crapped out. A fanless NVIDIA would be preferred.
Plan your life wisely, you'll be dead before you know it.