Do your speakers indicate they can be paired with more than one device? Newer Bluetooth devices seem to handle being paired with multiple devices but once paired, some may have a hard time resetting the pairing configuration.
My speakers stay Paired with this computer when they are off, if you are using them on other devices, that may be part of the problem. Possibly you could use them exclusively with the computer for a while to see if it makes any difference.
I am not certain the sounds would really indicate anything except possibly some type of driver which would cause the tone during disconnection.
It may take a couple of times to get them where they will stay available, but on my system when I push the Bluetooth button, which is a button in addition to the power button, it connects without problem. This would not be the same as just powering them up but something like a connect instruction.
If it might make any difference, I am using the Dell AC411 speakers with an Intel Dual Band Wireless AC 7260 Wifi/Bluetooth adapter. I was running these speakers earlier with a Killer Bluetooth device and it seemed to work well.
I have no other suggestions right now except to point out Bluetooth can be interfered with if you have a WiFi device in the area it might be enough to cause communications problems. I suppose some type of interference may show up in the sound quality from the speakers.