What a difference a day makes!
I had only managed to acquire 25 points through the first three days by trying to kill the Serpentis and Guardian Angels. Sunday, I earned 80 points by sneaking up on them and hacking their sites.
The process for finding a Gala Network Support Site is fairly straightforward. Fly into a system. If the system has cosmic anomalies, launch probes. Only probe down data sites. The Gala Network Support Site is the name players are looking for. If another name shows up, move on.
The challenge is finding a system with a site in it. I found one in the 15th system I flew through. Then I found three others in the same system. For those who don't know, EVE's site spawning mechanics have a tendency to dump all the sites in one system in a constellation. If you know where those systems are, you can rack up a lot of points in a hurry.
I wound up having to fly back to my home station in order to redeem my prizes in the right place. I received the Rifter Amaranthine Mantle SKIN and the Agency Support Drop. The contents of the drop are randomized. I wound up with a booster with a speed bonus.
Overall, I was averaging about 5-6 million ISK per site in drops. The four sites I found were in high sec. Half my route was in low sec, where I did not find any sites. I didn't make it to null sec, as I filled up my cargo hold a couple of jumps away.
The only other thing I can report is the existence of a possible exploit. Due to the EVE Online Terms of Service, I'm going to refrain from discussing the details of the exploit. I'll just note that if I had used the exploit, I would have a lot more than 105 points. I don't know how CCP will react, but they could conceivably take account action, such as issuing suspensions, to those who used it. I don't know if the damage of spreading the details is bad enough for the devs to start issuing bans, buy why take the chance?