Tang , about stability in "any bad chop/bump/mess" you can't have confort in these conditions with a board around or under 7' with a surfable width: 31" seems to me very confortable even for your 87kg.
i reckon you made a good choice of board 7'10" 98liters for your weight in glass shoulder condition but forget to surf it in "any bad chop/bump/mess" as every prone surfer d'ont do it as well.
As well of you i get exhaust after 45 mn on my 6'9"28"85l for my 75kg and need physical effort more as soon little cup or small water move... But i'm 60

About fin, IMO i try Nexus on a foot fast waves and i remember, personally didn't like : can be from to much positive area in the fin tip. To its opposite aspect, i try AB2 recently in power surf . Instead of flying on the boards hips like winged , thruster AB2 make the board working as a single fin but loose. As well, AB2 let the board plan shape of the tail carving which is a more than simple bite from the rail. The reason is :an inside foil which is opposite to the concave inside foil of Nexus.
So I will say to you to try TC white line on your 7'10", because it's a inside flat foil and they got no area tip ( like CDrive with more drive)