Live with it.
How over will you be? Remember, your extra batteries won't be in the truck bed, they'll be several feet behind the bed. My true pin weight (no water, clothes, food) is 2,580 which incidentally FR said 2,302, and that's with four batteries, all the hoses, cables, everything I need to camp.
Hitched= Truck is 9,700 and the trailer is 9,500, total 19,200
Unhitched= Truck is 7,120, landing gear has 3,680, trailer axles have 8400, trailer is 12,080, pin weight is 2,580.
I'm 800 pounds away from my gross combined weight, but it drives well. Trust me, I tested it last year coming back from Bristol when this nimrod realized they nearly missed their exit. Between killing the brakes, swerving around her like I was in a slalom course and getting it back straight even being close to my gross it was rock solid.
It's obviously your call, but if all is well then roll with it. Set the batteries in place, plus whatever else, and go reweigh it. I bet you'll find your pin doesn't change as much as you think it will. Look at my landing gear weight vs pin weight. 1,100 pounds difference over a roughly six foot span.
Now-2014 Sierra 346RETS 5er BUB
Then-2002 Keystone Springdale 286RLDS TT
Nights camped in 2014-28, 2015-127, 2016-10