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You are very naive if you think you will actually be awarded a trick after they coffee house. To put it in terms you will like:
If they have stiff Q 90 % of the time they hitch, and Q9 10 % of the time they hitch, your "solution" of playing for the drop and then calling the director if it's stiff Q will need the director to give you a trick ~90 % of the time for you to show a gain. Do you really think you will get a ruling that often when the opponents are just going to say "I played in normal tempo" or "I tried to grab the card and it stuck to the next one"?
Your "solution" is not 100 %, and I'm sure you know that as you actually play bridge at the table and not in some theoretical world.
In real life, given that:
-- I am only calling for the most blatant incidents where it would be hard for perpetrator or their partner to deny break in tempo without being stone cold lying cheaters
-- I have never run into someone with 8000+ MP like the proposed question that condoned & practiced coffeehousing (if a card really stuck, they'd always something like "no problem, a card stuck")
-- there's some reasonable chance the perpetrator will admit that they hitched and were trying to fool me not knowing that this is against the rules (I think maybe at least 50% in a random strat field have little clue as to the proprieties of the game, and even higher among the people who would pull a stunt like this. I think the population of outright cheaters who know the rules & break them anyway is quite low, those who do it mostly think it's simply part of the game & it's never been explained to them otherwise.)
-- I think the hitch is going to be from Q9 way more often than you do
I do believe that it is +EV to play for the drop & go for the ruling otherwise. Maybe I don't have enough practical experience as I can't remember detecting coffeehousing such as this (the couple rulings I saw only read about & heard third hand), I don't try to tune into micro-hitches since I know those are unreliable & I could never get a ruling on it anyway. Do you really notice this a lot (you posted recent story about holding KQ vs. Ax , leading Q and getting a hitch from someone ...)? Do you ever try to get a ruling on this or do you just take matters into your own hands and play them for coffeehousing?