Here's the support zip I was going to upload yesterday. I added an IOREG dump of before and after sleeping. If there's anything else I can add to help let me know.
I had trouble with Bluetooth with PBI also, to get around the issue I remember experimenting with kexts I used in Yosemite, none of the kext backups I've kept are working, and I'm now just working with regular El Capitan versions. Just doesn't work after a 5minute sleep.
Most obvious thing somethings wrong:
Code:
[[0x4000] OpCode 0x0C03 (Reset) from: kernel_task (0) Synchronous status: 0x00 (kIOReturnSuccess) state: 2 (BUSY) timeout: 10000] Bluetooth warning: An HCI Req timeout occurred.
**** [BroadcomBluetoothHostController][SetupController] -- disableHIDEmulation() failed -- result = 0x0010 (kBluetoothHCIErrorHostTimeout) -- retry 3 time(s) -- 0x5f00 ****
REQUIRE_NO_ERR failure: 0x10 - file: /BuildRoot/Library/Caches/com.apple.xbs/Sources/IOBluetoothFamily_kexts/IOBluetoothFamily-4406.4.1/Core/Family/HCI/HostControllers/IOBluetoothHostController.cpp:4173
**** [IOBluetoothFamily][ProcessBluetoothTransportShowsUpActionWL] -- Error!! -- Something went wrong in the setup process. Could not communicate with Bluetooth Transport successfully -- 0xe400 -- 0xe800 ****
Bluetooth - [0a5c:21e1]: USB [F4B7E2DC37E5 v274] "BCM20702A0" by "Broadcom Corp"
Wifi - (HP brand) Broadcom Corporation BCM43224 802.11a/b/g/n [14e4:4353] (rev 01)