I'm towing with a 02 F150 and towing a 2011 233s, which I would think would be the same coupler hieght as a 23ss. I too have an Equalizer and use the standard drop bar, actually turned up. To of the inside of the 2" reciever is approx. 20 inches, and the top of inside of the coupler is approx. 25.5" on the 233s when level. I would think that 2011 and 2012 233s and 23ss have the same frame and axles, just different layout, therefore same coupler hieght when level. The big difference is the tongue weight is higher on the 23ss. I do have room to go up if needed, to go down(if i had taller tow vehicle) I would need to turn the drop bar down. Hope this helps, I would think the standard bar should work wiht most apps. provided your not towing with some radical different.
Doug '71 n Deb 'better not'
DS1 '98 DS2 '99 DD '04
2000 Coleman Utah, since '05 replaced with
2011 Rockwood Roo 233s
2002 F150 FX4 SuperCab