No Limit Holdem Tournament • 2 Players

Preflop
min raising J9o @ 20BB is fine
Flop
Hit top pair on dry rainbow board.
Mandatory cbet with value holding on board where villain will sometimes c/r bluff us. Villain has lots of hands in his preflop flatting range which have great equity against us which we are happy to fold out.
Turn
Overcard to our pair and only completes 87 passively played draw. Fine to 2barrel for the same reason as above => villain still has loads of hands in his range which have significant equity vs us which we are happy to fold out. When we get c/r jammed on its 240 to call for your equity share of a 2*400 = 800 pot.
You're being layed 240 / 800 = 30% pot odds.
The turn brought more draws to the board: SDs & FDs which improved villain's one-street equity with his overcard floats that picked up draws on the turn.
*Note: The hand that villain turns up with is very strange and certainly noteworthy => check called top pair on dry rainbow flop then spazzed out when overcard & FD came on turn.
So do we have enough equity to call off vs villain's range here?
We expect he will do this with Tx and sometimes with FDs and SDs.
With one street to come:
vs his Tx you have about 10% equity => e(value) = 0.10
vs his draws + 2 overcards you have about 75% equity => e(bluff) = 0.75
How often does villain need to be jamming his draws to call here?
Let amount of value holdings in his range be x.
Then amount of bluff holdings = (1-x).
Our equity vs his range is:
e = x * e(value) + (1-x) * e(bluffs)
Solve for e = 0.30 (equity required from pot odds above) to find find breakeven point
0.30 = x * 0.10 + (1-x) * 0.75
0.30 = 0.10 x + 0.75 - 0.75 x
-0.45 = - 0.65 x
x = 0.45 / 0.65 = 0.69 ~ 70%
So if villain has > 70% value hands in his range here you should fold, if not you should call.
 
Against aggressive opponents you should call here because there are a lot more raw combinations of bluff category hands in villain's flat preflop raise then check-call flop range than there are value hands which he can conceivably jam over your 2barrel.
Against passive opponents who would only jam their value holdings here, you should fold.
Against the general population I think you have to bet and call it off here.
Your play was fine in my opinion.