Hex 5-row edge template puzzle

[Cameron Browne <browne@research.canon.com.au>]

Dear Hex players,

Here's an interesting problem (well, interesting if you like Hex). The 
following is a potential 5-row edge template:

         5  . . . . . . . . . . . . . . . . .  5
          6  . . . . . . . . - - - - - - . . .  6
           7  . . . . . . - - - - V - - - - . .  7
            8  . . . . - - - - - - - - - - - - .  8
             9  . . - - - - - - - - - - - - - - -  9
             10  . - - - - - - - - - - - - - - - -  10
              11  - - - - - - . - - - - - - - - - -  11
                   A B C D E F G H I J K L M N O P Q

		. = board point (empty or occupied by H)
		- = empty board point belonging to the template
		V = player trying to connect vertically
		H = player trying to connect horizontally

It is H's turn to play and defeat this whopping large template. Assume that 
V will play optimally to connect their piece at K7 to the bottom row. All 
play must occur within the template area marked '-'.

Problem: find a play by H that defeats the template, or show that none exist.

camb (with thanks to quentin and taral for discussions)