1.Rxh5, gxh5
2.Bh6, Nf1
3.e4, ......
(white plays with an active king on the queen side & wins the game)
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1.Rxh5, gxh5
2.Bh6, Nf1
3.e4, ......
(white plays with an active king on the queen side & wins the game)
Interesting ... but I need a clear win now, not a general evaluation! :)
1.Rxh5, gxh5
2.Bh6, Nf1
3.e4, ......
After,
3.e4. Ng3 (Ng3 is a total waste of time by black. the black Night has no game left)
OR
3.e4, b6
4.b5, bxa5
5.bxa6, a4
6.a7, ......
(white queens first and wins the game)
IF blacks responds {4}....., axb5. White proceeds to queen with {5} a6, ..
OR
3.e4, c6
4.dxc6, bxc6
5.b5, cxb5
6.cxb5, axb5
7.a6, ...
(White goes on to win the game again)
Now, as you wrote, pawn moves like 3. ... b6 or 3. ... c6 are just suicide.
Therefore the only moves which don't lose immediately are knight moves or 3. ... h4 (3. e4 is only a transposition of moves: in case of 3. c5 black answers with 3. ... Ng3, then 4. e4 is necessary).
But want I want to know from you is how exactly white wins after:
How will you continue as white?
After black plays 4.Ng3
5.c5,dxc5
6.bxc5,Nh1 or Nf1
7.d6,cxd6
8.cxd6,Nf2+
9.Qd2,Nxh3
10.d7, black resigns.
(white queens with d8 and check mates black.)
How does white continue? (By the way neither 3. e4 nor 3. c5 are the fastest winning moves here, but I accept them as long as you win in the end. :) )
Maybe I should add why I am so persistent to play all moves until the bitter end: you should be aware that chess friends of many different levels are watching here. Not for all of them it is so obvious how white can win at all, if black just waits and just does nothing ... :)
I will have time to reply later ... but indeed you should consider how game will continue after your 3. ... Ng3.