Play frisbee golf at 2 in the morning at an otherwise public place. Cold outside? Play it in a mall.
Go downtown and climb on all the buildings. Cold outside? Test drive the cars in the mall.
Bikes. Cold outside? Gym, indoor bikes. Comment on how you pedal and pedal but never get anywhere. Make no reference WHATSOEVER to how this is in any way, shape, or form metaphorically symbolic of your relationship.
Blindfold her, get out the yellow pages, flip to a random page and have her point. Go fill out applications at that location. Ice cream afterwards. Cold outside? Hot chocolate or coffee instead of the ice cream.
You might try asking her what she wants to do.