I don't know if you are able to use the Ledger Nano S wallet with Electrum. On its page electrum is missing. The ordinary Ledger Nano got it. I only go the normal Ledger Nano, it is not possible for me test it.

I don't know if it is optimal to run a chrome app, as you need to connect a google account to it and it might reveal your identity. Instead you might be able to download Copay and install it inside of TAILS, as the Ledger Nano S supports Copay. I got no TAILS drive, so I can't test it. (I might be able to boot a TAILS VM and test it)