Non ducted A/Cs use?

[twindman]

I have a ducted A/C in living area and a non-ducted A/C in bedroom. So when it is really hot and I run both, the bedroom A/C freezes out the BR and when vents aimed to living room it shuts off the other A/C because the thermostat is in the hall.

Has anyone found a way to shoot some of the BR cool air to the LR without it cooling the thermostat?
Thanks for any advice.