Yea disregarding balance i font see the point. If we have a low flush or 2p+ i guess we may wanna check so we could check this too i guess? But most opps will expect u to bet close to 100% so when you check and he bets we are just lighting money on fire.

The intention to x-f flop but bluff/protect turn if he checks back since he would bet almost his entire value range i think is a cool option tho. As validand pointed out, we dont have quite as much feq as i thought.

Still vs opps who arent floaty/creative move makers betting small w close to 100% of range will show a profit.

couple of thoughts
-you never win the pot when he has the Ad in his hand, and your hand category breakdown doesnt account for bare Ad combos.
-he prob peels one with hands like KxQdxx vs your likely sizing and you dont get to barrel turn almost ever.

neither of these are big enough to make his continuing range >67%, and so 1/2potting will remain profitable, but they are factors worth considering if only to not omit them when running closer sims in the future.  on the other side of the coin, your situation is not exactly the same since you dont have a blocker to top two/middle set.

re-simulating it, I get 31.5% flushes (assuming zero diamonds in your hand), 12.3% sets, and 11.3% 2prs, not quite sure why results are so different since I used exactly the same ranges.  I also get 3.6% bare Ad and 2.1% KxQd!dd hands, for a total continuing range of 60.8%.  Changing your 7 to an 8 reduces that figure to 57.7%.

as for the more complex postflop stuff, i guess you'd better hope someone makes a video about it :)

edited to add - i think maybe the diff in sim results can be accounted for by the dead cards in your hand?  if you just run a query for how often he has various types of hands given preflop, but without also considering the reverse blocker effects of your hand, then obv he'll show up with all the hands that connect with this board slightly less often.

How do we proceed on most turns? 

against most you're going to have to x/f without improving since you
have no blockers and he's unlikely to float air in this spot.  You'll
have plenty of blocker bluffs to continue with so we don't have to worry about having only value on bets on the turn. 

against some particularly floaty regs I very occasionally would fire another small bet in this spot, but those players are playing very exploitably loose so I tend to bet smaller on the flop with my whole range (like 1/4 pot) to encourage their gamble and then fire a wider range of bluffs on the turn to punish their tendency to peel.

Do you ever go into C/C mode? If so, how do you balance that range? 

I guess if we hit top set on the turn x/c'ing wouldn't be the worst option, although I think it's a fairly transparent play that will allow our opponent to play well against our actual holding.  trips could work as a x/c, because a lot of his turn betting range will be skewed towards KKxx and air, so we actually induce some bluffs.

but I probably keep betting small with my top set, and I guess x/c'ing trips seems ok against some.

Very nice