It seems to me that draw is all Black can get, but maybe I am wrong? Recently I have played a game against a computer and came to the following position :

[Title "Black to move"]
[StartFlipped "0"]
[fen "3r4/p3Q1pk/1pp3p1/8/3qP3/P7/1P3RPP/6K1 b - - 0 1"]


I have played ...Rd7 and soon the game ended as a draw by threefold repetition.

Was I able to win?
I didn't see a thing, and nether did Stockfish.

[Title "Black to move"]
[StartFlipped "0"]
[fen "3r4/p3Q1pk/1pp3p1/8/3qP3/P7/1P3RPP/6K1 b - - 0 1"]

1... Rd6 2.Qh4+ (2.Qxa7?? Rf6 ) Kg8 3.Qh3 Qe5 4.Qc8+ Kh7 5.Qh3+ Qh5 6.Qxh5+ gxh5 7.b4 Kg6 8.Rf8 Rd4 9.Rc8 Rc4 10.Ra8 Rxe4 11.Rxa7 Rc4 12.Kf2 Rc2+ 13.Kf3 b5 14.a4 bxa4 15.Rxa4 h4 16.Ra6 Kf5 17.Ra5+ Kf6=


Just because there's no forced win doesn't mean the game is without tension and opportunity. I have lost games similar to this game after move 12.