Thanks PB, Derek, and Deluk! I reflowed all joints last night. After a few more attempts at trying to diagnose the issue I have made no progress. I've decided to throw in the towel and send the amp to Bottlehead through their repair service. Hopefully, we can get a post from PB later down the road as to what the issue was so that it can help others in the future.
As of now, all resistance and voltage checks pass, LEDs light up and do not blink or turn off, and tubes burn.
Issues that cannot be resolved:
1) 6080 tube glows blue once it begins to heat up and once a threshold is reached the tube flashes with sparks in the center of the tube. If headphones are plugged into the amp during this time there is a very loud pop associated with the flash that comes from the headphones followed by no sound in the right channel.
2) If headphones are plugged in after the 6080 tube flashes, the right channel will cut out after a pop or crack is heard. Left channel seems to be operational.