I prefer not to use desktop wallets as I am mostly mobile. Most often, I hate to bring my laptop with me. It is a hassle. Also, I have no idea which mobile wallet is the most reliable and secure right now.
I suggest you check out the Ledger Nano X or Trezor. Not familiar with Trezor but those are the most trusted hardware wallets I know. I currently use Nano X for on the go transactions and I feel safe using it knowing that it's secured. For the Bluetooth part, you only turn it on when you are using it so it's most likely offline all the time unless you use it very often. You could check it out.
https://shop.ledger.com/products/ledger-nano-xhttps://shop.trezor.io