Min night stay, overule - with price increase?

[Pat99]

Dear Fellow Hosts, 
Does anyone one if it is possible to have a rule which allows for visibility of searches that are less than one's minimum night stay but subsequently increase the base price: 

For example:
- my min night stay is 3 nights
- my rate in 100usd per night
So ordinarily searches for less than 3 nights wouldn't show my listing. 
BUT
I'd like to show up on 2 night stay but with an increased nightly rate (+20%) for example (120USD). 

Thank you