Why bother? All it's going to mean is you are not paying your rent. The landlord can evict you for this. That you determine something to be "escrow" does not make is so.
Escrow is an agreement between two or more people which will distribute funds deposited according to the agreement. To be acceptable, both parties must trust the escrow agent. Do you have such an agreement with the landlord?
When you are a Bear of Very Little Brain, and you Think of Things, you find sometimes that a Thing which seemed very Thingish inside you is quite different when it gets out into the open and has other people looking at it.
--W. T. Pooh (aka A. A. Milne)