Weak and bad check/fold

hand #1
live $20/$40 LHE, 7 handed
UTG is a winning semi-TAG player, Hijack is the big fish in the game; consistently calls multiple bets all the way with his runner runner draws. A few times an hour, he makes outrageous river bluff bets (not raises).
preflop: UTG raises, muck, Hijack calls, CO calls, Button and SB muck, Hero calls in BB w 4h5h (4 players, pot size 8.5 small bets)
flop: 4cQsQh, Hero checks, UTG bets, Hijack calls, CO mucks, Hero calls (3 players, pot size 11.5 small bets)
turn: 4cQsQh8d, Hero bets, UTG mucks, Hijack calls (2 players, pot size 7.75 big bets)
river: 4cQsQh8d8s, Hero check/folds.

My friend sitting in Hijack + 1 seat told me he saw Hijack hand's as he mucked: 43o

The river situation is a hopeless one where Villain automatically calls with A high, possibly calls with K high, and calls with any pair (even counterfeited ones like PP smaller than 77, 4s, etc); also Villain will randomly call if he is interested in seeing my hand.

What is Hero's best river play? I just don't see how Hero can profitably put in any money on the river.

(btw, I really really have to get out of the habit of automatically mucking my hand when I feel very sure I am beaten when called on the river)