Call 3 streets with overpair?

Hand from Ignition 5NL
Weird spot, felt like he had 7's, 8's or missed spades...but just a really weird line. Would you guys call in this spot?

Hand History driven straight to this forum with DriveHUD Poker HUD and Database Software

NL Holdem $0.05(BB)
BTN ($5.66) [VPIP: 20% | PFR: 10% | AGG: 27.6% | Flop Agg: 27.3% | Turn Agg: 20% | River Agg: 37.5% | 3-Bet: 7.7% | 4-Bet: 0% | Hands: 60]
SB ($2.12) [VPIP: 53.3% | PFR: 33.3% | AGG: 18.8% | Flop Agg: 7.7% | Turn Agg: 18.2% | River Agg: 37.5% | 3-Bet: 12.5% | 4-Bet: 0% | Hands: 31]
BB ($4.68) [VPIP: 26.9% | PFR: 15.4% | AGG: 20% | Flop Agg: 0% | Turn Agg: 50% | River Agg: 100% | 3-Bet: 0% | 4-Bet: 0% | Hands: 26]
HJ ($5.85) [VPIP: 20% | PFR: 17.1% | AGG: 30% | Flop Agg: 37.5% | Turn Agg: 28.6% | River Agg: 20% | 3-Bet: 15.4% | 4-Bet: 0% | Hands: 35]
HERO ($6.94) [VPIP: 25.2% | PFR: 15.3% | AGG: 28.4% | Flop Agg: 29.9% | Turn Agg: 29.8% | River Agg: 22.7% | 3-Bet: 8.7% | Fold to 3-Bet: 51.4% | 4-Bet: 10.4% | Hands: 21752]

Dealt to Hero: Q♥ Q♠

HJ Raises To $0.15, HERO Raises To $0.45, BTN Folds, SB Folds, BB Folds, HJ Calls $0.30

Hero SPR on Flop: [5.57 effective]
Flop ($0.97): 3♠ 7♠ 8♣
HJ Bets $0.70 (Rem. Stack: 4.70), HERO Calls $0.70 (Rem. Stack: 5.79)

Turn ($2.37): 3♠ 7♠ 8♣ J♥
HJ Bets $1.13 (Rem. Stack: 3.57), HERO Calls $1.13 (Rem. Stack: 4.66)

River ($4.63): 3♠ 7♠ 8♣ J♥ J♣
HJ Bets $3.57 (allin), HERO Calls $3.57 (Rem. Stack: 1.09)