If I can ask a few clarifying questions:
1. How much tongue weight is the trailer (1,050 / 15%) ?
2. How much installed weight is in your LX in terms of aftermarket gear and cargo?
3. Are you sensor lifted?
AHC isn't exactly like a traditional suspension. It has a lot of capacity and can be augmented further by adding pre-load rather than increasing spring rates.
I would recommend a
20-30mm rear spring spacer while keeping stock springs. (sensor lift will require more compensation). New spring aren't really necessary.
Also critical to this is proper hitch and weight distribution setup. The geometry in particular of having the ball as close and tight to the rear bumper as possible to reduce cantilevered loads on the ball will give the best chance for any suspension to manage loads.
Done right, 1200lbs tongue weight and 2000lbs payload isn't out of the question and AHC will handle that just fine.