You probably have already seen this link on choosing an Equalizer hitch model:
It appears that Equalizer offers a 4K / 400 lb tongue load model and a 6K / 600 lb but jumps to 10K / 1000 lb model. For some reason, Equalizer does not appear to offer an 8K / 800 lb model for customers like yourself that will be at the upper end of the 6K / 600 lb model.
With that said I would I give Equalizer a call, if you haven’t already, and discuss with them your “loaded ready for camping” trailer and tongue weights as well as your tow vehicle type and “loaded” axle weights and see what they recommend.
Towing our 2108DS, which is a tad lighter than your 2306BHS, I went with the Blue Ox SwayPro with the 750 lb tongue weight bars. The SwayPro is quiet and the truck / camper rides well and tracks like they are “on rails”. Also there are no issues backing with the bars installed, even on the tightest turns. So I would highly recommend the SwayPro as an alternative if the Equalizer does not work out to your satisfaction.