The King In A Rook Box

Or "Do You Know How To Analyse - Part 6", but I was getting bored of that title.

Reinfeld position #986
Black to move

Static analysis: Black has ditched two pawns for active pieces and a King-side assault. White's Queen is unprotected.

Candidate moves:

A. 1. ... Qxh2+ a King hunt.
B. 1. ... Rh6 more pressure on the King.
C. 1. ... Ne2 threatening the Rook and the back rank via the f-file.
D. 1. ... Qe2 threatening pawns and the back rank.

I looked at ... Qxh2+ first, as it should be the easiest to prove or dismiss. I was expecting the latter, but as I started to analyse, I found it has surprisingly long legs...

A. 1. ... Qxh2+ 2. Kxh2 Rh6+ 3. Kg3 Ne2+ 4. Kg4 Rf4+ 5. Kg5

"So far so forced" as they say, the King is boxed in by the Rooks, but where's the coup de grace? At 5 moves out, the position is becoming a little hazy for me - the skill of visualisation which is greatly improved for my tactics practice, but would I play this sac in a real game and hope to find the killer when we get to here? In blitz I'd do it in a blink, but not in a teamleague game!

Reinfeld posisition #986
After 5. Kg5

This is a crux for "knowing how to analyse"; from the first diagram you have to see the second and be sure whether or not there's a (probably quiet) move to continue with. I went on to the next most promising candidate move.

B. 1. ... Rh6 the main idea is
B1. 2. h3 Qxh3+ 3. gxh3 Rxh3#
B2. 2. Nf3 Nd3 3. Qd6 Nxf2# is the smothered mate idea that I missed trying 2. ... Ne2 but
B3. 2. Nf1 Ne2 "etc..." black picks up an exchange, however White remains ahead (+0.7 - Crafty)

C. 1. ... Ne2 another way of trying the ... Qxh2+, ... Rh6# idea, I looked at
C1. 2. Nf1 Rxf2 3. Nd3 with nothing concrete. Crafty says Black is better here but gives
C2. 2. Nf3 Nxg1 3. Kxg1 Rg6 4. Nxe5 Rg5 5. N3c4 Qh3 6. Ne3 Qh5 as 0.00.

D. 1. ... Qe2 I couldn't find a solid continuation, White has a few options and Crafty goes for 2. Qc4 Qxf2 with +2 for White.

The solution is what I suspected I hadn't found for stopping the search too soon. Fred plays (from diagram 2) the elegant

5. ... Rh2 threatening 6. ... h6# 6. Qxf8+ Kxf8 7. Nf3 h6+ 8. Kg6 Kg8 threatening 9. ... Rf6# 9. Nxh2 Rf5 threatening 10. ... Rg5# 10. exf5 Nf4#

While Crafty is more direct

5. ... Rff6 threatening 6. ... Rfg6# 6. Qxf8+ Kxf8 7. Kg4 Rfg6+ 8. Kf3 Nxg1#.