Ledger Nano X

Trying to move ETh to Ledger Nano X without getting peeled in the fees. I have a Gemini account, my ETh is in Voyager right now. I would like to see if I can convert my ETh to litecoin (for example), move from Voyager to Gemini, convert litecoin to ETh and use one of the 10 free transfers per month to then move my ETh to my Ledger? Gemini doesn’t have stellar or Ada, I’ve heard litecoin has low fees which is why I’m wanting to do this?
If anyone can help me I would really appreciate it.