Hi mattlyukea,
The area between the Touch Bar and the Display is likely to be also quite warm then ?
Wondering if the tick-box suggestion below would help, in your case, as it seems to have worked for others.
Open System Preferences (choose from menu that opens on clicking the apple icon at left of top menu bar)
click on "Battery"
if not ticked , tick "Enable power nap while on battery power".
Click on "Power Adapter" (in that left menu) also tick "Enable Power nap while plugged into a power adapter."
If you already had those ticked:
You might want to check that the MacBook Pro's vents along the side and on the back (that let fans bring in cool air and expel air) aren't blocked .... (that's one of the tips in Apple's support article on fans: link below)
https://support.apple.com/en-us/HT202179
All the best