Hi @PS13
There is no way to view private keys on your Trezor device.
Hardware wallets are designed to keep your private keys and secret recovery seed offline and off of your computer. Keeping your private keys encrypted and isolated on your Trezor device keeps your funds safe from hackers and anything malicious that may creep onto your operating system.
you should never ever ever ever insert your Trezor recover seed to any 3rd party wallet (or any online interface in general - because of phishing) as it might be compromised. However if you really insist on doing that please make sure that you have transferred all your remaining funds out of your Trezor and you will create new recovery seed right after your funds will be (potentially) recovered.
I can’t give you any further information about the fund recovery process as it is out of our scope and in this case I frankly don’t know the solution. So please do your own research in order to figure out if there is a way.