Queen Six Offsuit

[Sandwich]

What if, in EVERY FUTURE HOLDEM HAND YOU PLAYED FOR THE REST OF YOUR LIFE, you were doomed to receive the following two cards...

Queen of Clubs and 6 of hearts.

(and, yeah, none of your opponents will ever catch on that that is the only hand you get)

What would optimal strategy be?
What types of games would you search out?
Could you win in the long run with only Q6o?

What's the analysis for this?