Amateur

A.White should accept trading Queens with advantage. 
B.White wins with best play. 
1.QxQ+ bxQ 
2.Kf1 Ke7 
3.Ke2 f5 
4.f3 Kd6 
5.Kd3 f4 
6.h4 Kc7 
7.Kc4 Kd6 
8.Kb5 h6 
9.Kc4 a6 
10.a3  
Pawn c5 falls and White wins. 
C.I think, in this kind of position, it's extremely difficult for Black to force a draw. Can Black force a final drawn position as below, for example? 
White: Kc4 a5 d5 e4 f3 g2 h4  
Black: Kd6 a6 c5 e5 f4 g6 h5 
White to move, drawn.