I could take the airgaped computer (laptop) to the store. I'm concerned about getting online.
The airgapped computer should never go online. If it does, then it is no longer airgapped and your wallets are no long secured.
What you need to do is go to your airgapped computer, open your wallet in Electrum, click Wallet -> Information, and click on the QR code symbol at the bottom right of the box titled "Master Public Key". Then open Electrum on your phone, create a new wallet, select "Import Bitcoin addresses or private keys", click on the camera icon, and scan the QR code. This will create a watch only wallet on your phone, which can see all your addresses but does not contain any private keys, and therefore there is no risk of your coins being stolen should your phone be compromised.
When you want to make a transaction, craft the transaction on your mobile wallet, and then press the QR code button. Open your cold wallet on your laptop, go to Tools -> Load transaction -> From QR code, and scan the QR code from your phone to load the unsigned transaction. Then you sign your transaction on your cold wallet and hit Export -> Show as QR code. On your phone, go to Send -> Scan, and scan the QR code from your laptop to load the now signed transaction. You can then broadcast this transaction from your phone.
This means that your private keys never leave your airgapped computer, and your airgapped computer never goes online.
The biggest risk with what you have described is carrying your airgapped laptop around with you. My airgapped encrypted cold storage never leaves the house. Any coins I want to carry with me I do so on a mobile wallet or a hardware wallet.