Bluetooth won't wake up from sleep

If I install the "F6" drivers via the Device Manager, Bluetooth won't wake up after the computer has been put to sleep. If I install the drivers via the .exe installation bundle, it seems that Qualcomm installs a background process named "Extension Core" (BtvStack.exe) which wakes up the Bluetooth adapter after the computer wakes up.

Problem is, the .exe installation package includes both wifi and Bluetooth drivers, and the wifi drivers have issues when installed via the .exe - as a result, I have to install those using the "F6" drivers. So I'm stuck in a situation where working wifi means broken Bluetooth and vice versa