I'm off next week as well so if you want to I'd be more than happy to join you with Duke. Contact me on my e-mail and we might work out something.
If you're staying in CZ
for a week, try to get out of Prague as well - Český Krumlov, Telč or Karlovy Vary (will be crowded due to ongoing film festival) is my suggestion.
There is also a pretty decent aviation museum in Prague-Kbely, with a unique 2-seater version of Me-262 and CSA Tu-104 (in a pretty bad shape)