My Master BR is exactly above my garage, both facing west (least to
say that I live in TX). As a result, my upstairs AC is always on
(thermostat is in the master bedroom) and my master BR seems to be
always hotter than the other rooms upstairs. Are there any other
things that I can do to lower the temps in the master BR (besides
keeping the ceiling fan on, which, anyway, isn't much effective)?

I do not want to keep the garage door open, even partially, as the
backside of my house is full of woods and I have spotted some snakes,
mice, rabbits etc around our house.

Thanks much in advance
Jan