Repetitive routes are generally frowned upon, but if you document the turn around points it can be done. From the
SS1K Page
"We strongly discourage, and in some cases may reject, routes that are repetitive in nature. For example, we would not accept a claim that you rode five round-trips between Daytona Beach, Florida and Jacksonville, a distance of only 95 miles..."
You're basically riding a 'Fall Line 1000'. If you want to create a ride with that name, you should seek prior approval and get input on what you should document for that. I'd seek prior approval anyway, due to the repetitive nature of the route, even if you just want an In State SS1K for GA as your fall equinox ride. Technically the Four Seasons ride can be any SS1K done at the correct time and it doesn't really become part of the Four Seasons Award until you finish all four and submit for it, if that's what you're ultimately aiming for.
@Ira can probably tell you if it's too repetitive or not.