That ain't right
I don't know what to tell you to fix it, but it sure doesn't sound right to me.
I could load my 6A to 1950 pounds before it approached the aft limit. I had electric trim with a trim indicator and it never needed more than two marks when loaded for a normal flight. During phase one, I tested runaway trim conditions and I could hardly hold the stick when the trim was at the limit.
Of course, that was my plane, which had a C/S prop. You didn't mention your configuration, but you might check your W&B against the other's on Dan Checkoway's site (mine's there). If you've got a wood prop, it'll be more tailheavy, but I still can't imagine that it would make that much difference. I flew mine to Osh once at 1950 lbs, right at the aft limit. It still didn't need that much trim.
Which makes think of something -- a normal RV6 in calm winds will hold altitude when trimmed properly for a long time. Mine would normally go an hour or so, but on that trip to Osh, it wouldn't hold altitude at all. If your plane wants to hunt all the time but your calculations say you're in the middle of the envelope, you might need to re-weigh the plane. Maybe it's a lot more tailheavy than you thought.