Sounds nitty but i guess folding is fine

Most ppl would float AK and AQ otf flop i guess

Given positions both ranges are pretty strong anywas

So i guess there is KQ and some 78s exlusively for bluffing, while both players have all nutty hands in theire ranges

If we give our opponent a standard IP flat list of: 
QQ-66, AJs+, KJs+, QJs, JTs, AQo+
7c7d on this flop versus opponents suspected range is 78.70%.
Hands that could potentially raise are any gutshot [AK,AQ,88,99], OESD [KQs], sets [JJ,TT], two pair[JTs] and overpair [QQ]. 

Assumption 1.0: opponent raises all gutshots as a bluff, overpairs, two pair, and sets for value, flat or folds everything else. 
77 flop equity: 74.93%
77 Turn equity when opponent barrels all flop bluffs: 80%.

Assumption 1.1: opponent raises all gutshots as a bluff, overpairs, and sets for value, flat or folds everything else. 
77 flop equity: 74.93%
77 Turn equity when opponents barrels half of all flop bluffs: 71.92%
^[QQ, JhJs, JhJc, JsJc, TdTh, TdTc, ThTc, AQs+, JhTh, JcTc, AhKd, AsKd, AsKh, AcKd, AcKh, AcKs]

Assumption 2.0. opponent raises only suited broadway gutshots with backdoor FD as a bluff, and sets, 2pr for value, flat or folds everything else. 
77 flop equity: 49.21%
^[JhJs, JhJc, JsJc, TdTh, TdTc, ThTc, AdKd, AhKh, AsKs, AdQd, AhQh, AsQs, JhTh, JcTc]
77 Turn equity when opponent barrels all flop bluffs: 49.03%

Assumption 2.1. opponent raises only suited broadway gutshots with backdoor FD as a bluff, and sets, 2pr for value, flat or folds everything else. 
77 flop equity: 49.21%
77 turn equity when opponent gives up all unimproved bluff equity on turn: 35%. 
^[JhJs, JhJc, JsJc, TdTh, TdTc, ThTc, AsKs, AsQs, JhTh, JcTc]

Conclusion. Equity varies dramatically depending on the bluff tendencies of opponent. 

Feel free to draw your own conclusions as you have the history with the player. 

PokerStars Hand #114721935817:  Hold'em No Limit ($200/$400 USD) - 2014/04/13 16:44:53 WET [2014/04/13 11:44:53 ET]

Table 'Menelaus IV' 6-max Seat #1 is the button

Seat 1: Lottenice ($60876.85 in chips) 

Seat 2: Trueteller ($52091.25 in chips) 

Seat 3: Aron0621 ($47672.50 in chips) 

Seat 4: 26071985 ($61390 in chips) 

Seat 5: forhayley ($46775 in chips) 

Seat 6: Ike Haxton ($27921 in chips) 

Trueteller: posts small blind $200

Aron0621: posts big blind $400

*** HOLE CARDS ***

26071985: raises $500 to $900

forhayley: calls $900

Ike Haxton: folds 

Lottenice: folds 

Trueteller: folds 

Aron0621: calls $500

*** FLOP *** [Qs 8c Kh]

Aron0621: checks 

26071985: bets $1600

forhayley: calls $1600

Aron0621: folds 

*** TURN *** [Qs 8c Kh] [7c]

26071985: checks 

forhayley: bets $4388.40

26071985: raises $8611.60 to $13000

forhayley: calls $8611.60

*** RIVER *** [Qs 8c Kh 7c] [6h]

26071985: checks 

forhayley: bets $16400

26071985: raises $29490 to $45890 and is all-in

forhayley: calls $14875 and is all-in

Uncalled bet ($14615) returned to 26071985

*** SHOW DOWN ***

26071985: shows [Ks Kc] (three of a kind, Kings)

forhayley: shows [Qc Qh] (three of a kind, Queens)

26071985 collected $94645 from pot

*** SUMMARY ***

Total pot $94650 | Rake $5 

Board [Qs 8c Kh 7c 6h]

Seat 1: Lottenice (button) folded before Flop (didn't bet)

Seat 2: Trueteller (small blind) folded before Flop

Seat 3: Aron0621 (big blind) folded on the Flop

Seat 4: 26071985 showed [Ks Kc] and won ($94645) with three of a kind, Kings

Seat 5: forhayley showed [Qc Qh] and lost with three of a kind, Queens

Seat 6: Ike Haxton folded before Flop (didn't bet)