Would have to double check, but as far as avoid issues goes. As long as trezor does LTC which I believe it does. It, may be the better option. Def more reading to do.
Trezor supports LTC. You should read about
unfixable vulnerability found in Trezor devices and
their response to the described attacks. They are very unlike to happen and require a physical access to the device, but you everyone should be warned about it. Ledger is not vulnerable to any attack at the moment, but because of Secure Element, it is not fully open-source.
If you have any Ledger/Trezor specific questions, feel free to ask. I own Trezor One, model T and Ledger Nano X, so I should be able to answer most questions.