Here is my Address - 3EEaDjropszvGwRZQrHSvEuDAFnSe5sFu6
I didn't send a signed message because I don't know how to do it in a Ledger device via Ledger Manager (I don't feel safe using the old Ledger Wallet Bitcoin chrome app). Also, it seems it doesn't support it. Plus the fact the I also doesn't think my PC is not safe enough to expose the private key and enter to an Electrum install.
You don't need to enter your private key into Electrum... you can use your Ledger device with Electrum which will create the "watching only" wallet in Electrum... seed/private keys will stay safely contained within the Ledger device.
Use: File -> New\Restore -> Standard Wallet -> Use a hardware device
And then follow the instructions. Once the wallet is successfully created, you can use the "Tools -> Sign/Verify Message" option to sign a message using the address of your choice from the Ledger device.
I've tested this just now with a Ledger Nano S and it works fine.
