I don't live in your area or even in Georgia, so take my comments with the understanding that they may be inaccurate.
I have learned that GSP truly uses a hodge-podge of radio systems across different parts of the state, and that their radio use changes frequently, making it difficult to reliably track their communications.
The VHF conventional P25 frequencies listed in the database are their "primary" system. Conventional P25 repeaters can only be Phase I - P25 Phase II is only used on trunked systems.
GSP also has use of GA DNR repeaters throughout the state - the same dispatchers serve both agencies. So be sure to program both agencies' repeaters and see if one agency regularly uses the other's repeaters in your specific area.
In areas where there are county or regional trunked radio systems in use by local agencies, GA SP may use talkgroups on that system. This is certainly true in Metro Atlanta where GA SP regularly uses the Atlanta and Gwinnett systems, and has talkgroups on other systems. You mentioned Athens - it's possible that GA SP uses a talkgroup on the Clarke Co Trunked Radio system on a regular basis. It appears this is a Phase II system primarily, with at least one Phase I talkgroup. So maybe it operates in mixed mode.
You also mentioned Augusta. In that area, it's possible (even likely) that GA SP is using talkgroups on the Augusta Richmond County Phase II trunked radio system. Don't worry - even though you have a Phase I-only radio, it's reported that all talkgroups on this trunked system are encryped, so even with a Phase II capable radio, you won't be able to hear them. Note that there are no talkgroups identified for this system in the database, and that's likely because no one knows what each talkgroup is used for because it's all encrypted.
You may also occasionally hear GA SP troopers on local law enforcement channels.
It's possible that there is no NAC listed for the Augusta repeater because it may not get much use. I see shajoe44 answered that question for you already.
Remember that the mobile extender frequencies are low power so you'll need to be really close to an officer using that channel.
Perhaps someone else in your local area can verify some of this information. It's going to take some searching and monitoring over time to figure out what's in regular use in your specific area.
Good luck.