I have a ’76 AA-1B with the 0320-A2B. On this airplane the battery is still on the firewall, and I have about 7 1/2 lbs of ballast back in the tail. I land this plane with the trim all the way back for a comfortable 80 mph on final, flaring to land at about 70.
For the slick wing AA-1 Yankee my understanding is the center of lift is further aft, which will require more weight in the tail. I am putting together a Yankee now with a 0320-E2G and I am waiting until I can weigh it to see if I need to move the battery or not, and how much ballast I will need to add.
Attached is a graph that shows the CG range of the AA-1 series. You can see how the AA-1 compares to the later models.
If you are concerned about it, find someone with some aircraft scales and get it weighed.

Is that the Earth-X battery? I have that on my tool list to get if it means not moving the battery aft. But if I had to go to 20+ pounds in the tail on the Yankee project to keep it in CG, then I would be forced to move the battery back. I probably would then stick with the Concorde battery if that is the case. The cost of the Earth-X would not be worth it then.
Other items I have done on the Yankee project is it has a Sky-Tech starter and a Plane Power alternator to get some weight off the nose.
My AA-1B still has the stock starter and alternator, and the oil filter is mounted on the left front baffle. I ran some numbers to see how much ballast I could remove if I changed to the Sky-Tech and Plane Power, and moved the oil cooler to the rear baffle (where most are mounted). I think it worked out I would be able to remove 3 – 4 pounds of ballast. Everything is working fine, so unless the started dies or something I probably will not do it. I have some 1700 hours now in it since I swapped the engine in 1983.

OK, that is the Odyssey battery. That is another option. It is the same technology as the Concorde, but less capacity. The Lithium EarthX battery weighs 5.4 pounds.
When I did the Collier engine conversion to my AA-1B in 1983, the two options in the STC were to leave the battery where is was and mount ballast as needed, or install a Piper battery box in the back with a 35 amp hour battery, which weighs 32 lbs plus the weight of the box and wire. Fortunately my AA-1B starting CG seems to have been further aft then most, and the ballast needed was not great.
Of coarse back in those days the only option were flooded batteries, that required constant maintenance (adding water and cleaning acid spillage). I was so glad to keep it on the firewall for ease of access.
What also helped is that I think starting in 1974 or so Grumman started mounting the ELT under the vertical fin (see picture). The Narco ELT weighs 3.6 pounds with the mounting bracket. I plan to put an ACK 406 ELT in the same place on the Yankee project. It is only half the weight of the Narco though.