having installed ethernet cables, and tested them for a living in domain of about 1800 people, my suggestions have been valid. Cody may consider inspecting the ends to make sure the colors are in the correct place, and then test it with nothing on either end but the tester and a known good cable, isolating that segment. If he is using prefab cables from each end of the block, then he can replace those, which he appears to have already done. If he wants to know where the error is in the 250' cable, if one is there, he can use a cable tester that tells him how far out the fault is. If he wants to test the camera, he can temporarily remove it and plug it in closer to the other end to see how it performs there. Basically, remove the underground section from the testing completely. As he said, it is not easy for him to remove the cable if it is bad.
That said, his camera may work fine without that specific pair being needed. In fact, the camera may never have used that pair, and it may have been that way since day 1. Generally, a camera is a one-way device, streaming signal to you but you not back to it. It does not need bidirectional 1GB traffic. The only traffic it likely gets back is programming, and return packets if is TCP/IP. If it is UDP, return packets are not a requirement. Also, the storm may have upset it to where it is not using the correct IP address range. In that case he may need to manually reset it following the manual. I have had to reset mine a couple times when they farted.