I don't know how low the Jandd pannier goes nor exactly how high the Burley hitch/arm goes, but I have a Chariot 2-children trailer and Arkel T-42 and GT-54 panniers.

The pre-2003 models end at exactly the quick-release height. Just low enough that the bottom of the quick release tends to scratch and wear out the fabric... and just enough that I had to sew a part of the T-42 after 5 or 6 years of year-round use. The newer T-42 has fully adjustable hooks and sits slightly higher, so it doesn't rub on the quick release. Practically speaking, it means both models can be used sucessfully with a trailer that hitches around hub level.

On the other hand, very low panniers like Arkel's TT-84 won't fit with a trailer.