Now you don't!
After contemplating several solutions to concealing the thermostat,
this is the one that worked.
I found the wall mount bird cage at one of my favorite shops in town, The Market.
It was so clearanced out that it was almost free.
I took the back of the cage off to just under the roof line.
There's plenty of space for air to circulate so that it doesn't interfere with the functioning of the thermostat.