Will this motherboard bottleneck these GPUs?

The link isn't working (truncated), but it doesn't really matter.

Any GPU will be fine in that board as long as the case of that system will fit it.

I see that you fixed the link, and yep, you're free to use ANY card that you want without fear of any bottlenecks (it's even a PCIe 3.0 slot with that 3770 installed).

The main issue would never really have been the motherboard anyway (motherboards themselves rarely the root of any bottlenecks). The main problem is being sure the the case of that HP system is large enough to fit the card that you want to install.

Do you think it will fit?

CPU Dimensions: 16.22" D x 6.89" W x 16.34" H

I honestly don't know. Most good GPU's are in the 9-10" inch range, but depending on how long the drive bays are (how far they protrude into the inside of the case), a 9-10"+ card may not fit.

You'll need to measure the distance between the back of the case to the drive bays to see how much room you have. You really need to have around 10.5-11" of clearance for a 10" long card. That means the drive bays will need to be around 5.5-6" long.