2nd A/C with T-stat

[5J's]

I'm about to undertake the task of adding a 2nd A/C in the bedroom of our 5er. I'm not crazy about the controls being overhead on the unit so I opted for the remote mount T-stat. It looks like I can get the stat wire down the wall easily from the 14" skylight and I think I can pull the DC from the bathroom light circuit as that switch is on the back side of the wall the Stat will be on. Has anyone taken on this task?