Lows has a 4" Diam.x20 foot flexible dryer vent Hose that you can run from your dryer to a panel in the window and a hood that you could glue in place out the windows.
Lambro Industries 4" x 20' LamaFlex Connector
Lambro Industries 4" White Replacement Hood
The vent duct wonít be too long to run; you wonít need a booster for the ventilation or a lint trap (if you do, put it in later - a small in line-fan will work). I put one of these in for my neighbor and it works fine, she is happy with it. As far as a permit, thatís up to you and your inspector.