Queen vs. Two Rook Endgame? Who Should Win?

That's what occurred last night in a game between David Paulson and me. Due to a mistake in recording the game, I stopped at the point in the pgn below. After perhaps another 20 or so moves, we agreed to a draw in a situation where White was up a pawn, but Black's Queen could essentially check the White King, not in perpetual check, but pretty much into infinity or until the 50 move rule or a three position repeat occurred. A good, very draining game--I slept until 10am this morning.

Robert and Bill Storz had a good long game that they adjourned---shades of years past, although there was no sealed move.

[Event "?"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "David Paulson"]
[Black "Brian Lafferty"]
[Result "1/2-1/2"]
[BlackElo "0"]
[Classes "?"]
[ECO "D07"]
[TimeControl "?"]
[WhiteElo "0"]

{Game analysis^13 ^10 Processor: AMD A10-5757M APU with Radeon(tm) HD Graphics
(@2.50GHz)^13 ^10 Engine(s): stockfish^13 ^10 Analysis time: 0:10:16} 1. d4 d5
{[%t Val] 7} 2. Nf3 Nc6 3. c4 Nf6 {[%t Val] =}{[%t Shrt] N} (3... e6 4. Nc3
Nf6 5. Bg5 Be7 6. e3 O-O 7. Rc1 b6 8. cxd5 {...1-0, Karpov Anatoly 2700 -
Prata Jose 2068 , Torino 5/22/1982 Simultan})(3... Bg4 4. cxd5 Bxf3 5. gxf3
Qxd5 6. e3 e5 7. Nc3 Bb4 8. Bd2 {...1-0, Ivanchuk Vassily 2705 - Brynell
Stellan 2473 , Sweden 3/14/2004 Ch Sweden (team) 2003/04}) 4. Nc3 {[%t Val] :}
4... Bf5 {[%t Val] B} 5. e3 {[%t Val] 7} 5... e6 6. Bd3 {[%t Val] 4} 6...
Bxd3 7. Qxd3 Bb4 8. a3 {[%t Shrt] N} 8... Bxc3+ 9. bxc3 h6 {[%t Val] 9} (9...
O-O 10. cxd5 exd5 11. O-O Na5 12. Nd2 Re8 13. f3 c5 14. e4 {-0.08}) 10. O-O
Ne7 {[%t Val] D} (10... dxc4 11. Qxc4 Qd5 12. Qe2 O-O 13. Rb1 Rab8 14. Nd2
{+0.27}) 11. cxd5 Qxd5 12. c4 Qe4 13. Qb3 O-O 14. Bb2 Qc6 15. d5 {?!}{[%t Val]
6} (15. Ne5 {!?} 15... Qb6 16. Qc2 Qd6 17. Rfb1 c5 18. dxc5 Qxc5 19. Bc3 b6
20. a4 {+0.63}) 15... exd5 16. Bxf6 {?!}{[%t Val] ^31 } (16. Qb4 {!?} 16...
Rfe8 17. Bxf6 a5 18. Qb1 Qxf6 19. cxd5 Nxd5 {+0.13}) 16... dxc4 17. Bxe7 {??}
{[%t Val] ^07 } (17. Qb2 {!} 17... gxf6 18. Rfc1 {-0.72}) 17... cxb3 18. Bxf8
Kxf8 19. Nd4 Qa4 20. Rfb1 Rd8 21. Nxb3 Rd3 {??}{[%t Val] K} (21... b6 {!} 22.
Nd4 c5 23. Ne2 Rd3 24. Re1 Rxa3 25. Rad1 b5 26. Rc1 c4 {-4.13}) 22. Nc5 Qc2
23. Nxd3 Qxd3 24. Rxb7 Qc3 25. Rbb1 a5 {[%t Val] N} 26. Rc1 Qe5 27. a4 {?!}
{[%t Val] F} (27. Rab1 {!?} 27... Qd6 28. a4 g6 29. g3 Qa3 30. Rc4 Qa2 31.
Rbc1 c5 32. Kg2 Qb3 {+1.24}) 27... c5 {[%t Val] K} (27... g6 28. Ra3 Qe4 29.
Raa1 Qe5 30. Rab1 Qe4 31. g3 c6 32. Rb8+ Kg7 33. Ra8 {+0.74}) 28. Rab1 g6 {?}
{[%t Val] X} (28... Qe4 {!} 29. Rb8+ Ke7 30. Rxc5 Qxa4 31. Rb7+ Kd6 32. Rc1
Ke5 33. Rxf7 Qa3 34. Rfc7 {+0.97}) 29. Rb5 Qe4 30. Rxa5 c4 {[%t Val] \} 31.
Rc5 c3 32. R1xc3 {?!}{[%t Val] X} (32. a5 {!?} 32... f6 33. R5xc3 Qa4 34. Rc8+
Ke7 {+3.54}) 32... Qxa4 1/2-1/2