The .300AAC is a good cartridge, but it's a "logistically prohibitive" cartridge. The only ammunition that has managed to make its way onto the market thus far is the 220gr OTM subsonic from Remington. AAC has stated that they have several companies aside from Remington that are on board and in the process of developing commercial ammunition to put out. While it was not said directly whom, it is believed to be Hornady, Federal and I think Black Hills, and likely some more will bloom. However, we won't be seeing any ammunition regularly on the market for at least another 6 months, I suspect. Most people are reloading it right now. If you can get the brass, you can do well with the cartridge. However, until there is more ammunition on the market, you're going to be very limited on what you can do.
The 6.8SPC has a number of load options on the market. Mechanically, I think the .300AAC is the better option due to the similarity of all parts, save the barrel. The 6.8SPC will be the better option for the average shooter in the immediate term, however. If projections are right, the .300AAC will surpass the 6.8SPC quickly in terms of availability and load options, as well as in popularity. However, that's at least a year out, at least from my point of view and opinion. If you want something you can shoot right now without issues, the 6.8SPC is the better option. If you want a longer shot, neither cartridge is especially suited to the task. They are short and intermediate range cartridges. You're not going to get 900m capability like you would from say Mk262.Mod1 loads, or 1000+m capability from M118LR.
Both are capable cartridges, but the .300AAC will be more utilitarian due to a wider array of loading capabilities due to using a .308" bullet.
I have a .300AAC SBR in the works, but it's basically just waiting to be registered and then the receiver will sit in the safe for the foreseeable future until more commercial ammunition hits the market. I can reload the ammo, but lack of available ammunition commercially makes it less than feasible for my purposes.
Just something to think about.