Not a 35.5 but a 386...........no issues with the dinghy dragging when heeling...just be sure to secure it. Sailed all the time in the San Francisco Bay and outside the Golden Gate Bridge with the dinghy attached to the davits.
Lots of after-market dinghy davit suppliers to choose from including Garhauer, Kato, Forespar Nova, Edson Marine, Martek, Ocean Marine, St. Croix, Atlantic Towers, etc. They all fit with differing supports and the
manufacturers offer excellent customer support to ensure their davits are installed and supported correctly on your sailboat. Some may have photos of your 35.5 with their dinghy davits It comes down to price and features including carrying capacity in lbs, tubing 304 vs. 316 (better) stainless steel, 1 vs 1-1/4" (better) diameter and wall thickness (thicker is better), one or two cross bracing depending on carry capacity, rail attachments and/or struts, block and tackle purchase, swivels for storage when not in use, tie-off cleats, etc. Suggest making a table to compare price and features of each before you buy. You can do a search on this forum on "dinghy davits" to see what others have installed and why.
I installed Garhaurer dinghy davits (1.25" diameter with one cross brace) myself on my 2004 Hunter 386 below.
Please let the forum know which one you selected and why with photos.
GarhauerMarine.com - Dinghy Davits & Accessories - Transom Hardware & Accessories
Kato Marine
Nova Davit (forespar.com)
Edson Boat Accessories: Davits (edsonmarine.com)
Dinghy Davits | Quality Dinghy Davits - Order Now! (martekdavits.com)
Davit | Dinghy Davits | Ocean Marine Systems
St. Croix Davits (marinewarehouse.net)
Sailboat Arch | Tower In A Box | Atlantic Towers