I've been considering responses to the Reti. Slav type responses have been recommended and are ok. However, as I don't play the Slav, it's not my first choice. You mention several interesting possibilities, including that shown in the game Duda-Korchnoi.
1. Nf3 Nf6 2. g3 c5 3. Bg2 Nc6 4. O-O e5 5. d3 d5 6. e4 d4 7. Nbd2 Bg4 8. h3 Bh5 9. g4 Bg6
In addition to 10. Nh4 Nd7 11. Nf5 h5 as played, there is 10. Nxe5 Nxe5 11. f4.
There are many move orders possible. The game could commence 1. Nf3 d5 2. g3 c5 3. Bg2 Nc6 4.0-0 e5, etc. However, White might play 4.d4 instead. This is a reversed Gruenfeld Indian defense if Black plays 4...cxd4, and I think that is hard for Black.
Instead, I would choose 4... Nf6 5. O-O e6 6. c4 Be7.
This easily leads to the Tarrasch Defense of the Queen's Gambit Declined: 7. cd5 ed5 8. Nc3 O-O
Either player can avoid the Tarrasch. For example, 7. dc5 Bc5 8. a3 O-O 9. b4 Bb6 10. Bb2 Qe7 11. Qc2 Rd8 12. e3 e5 13. Nbd2 reaches the following position from the game Schandorff-Aagaard 2011.
This is game 22 in Sam Collins' book The Tarrasch: Move by Move.