Can you help me crunch numbers? F150, 9600 tow capacity

I am pulling the rig in my signature, the trailer weighs in at 7500# - 7700# loaded, and I am within all of my capacity numbers, using an Equalizer WDH. My truck is an XLT with a 1625# payload. The upper F150 trim lines like the HD, Platinum, etc take a big hit in payload due to the options. I have seen some as low as 1100# payload, which is really low.

I wouldn't have any problem with the setup you are looking at....