Personally... I would just suck up the conversion fees and convert everything to BTC and then withdraw the BTC.
You'll likely find that trying to withdraw multiple currencies will result in multiple overpriced withdrawal fees (in some cases, given the tiny amount you're trying to withdraw, you'll end up spending most of it in "minimum withdrawal" fees
)
The small % loss you take during the conversion will likely be a lot less than minimum withdrawal fees.
Additionally, BTC is pretty much universally accepted everywhere. There are very few exchanges (if any?) that
don't accept BTC. The same cannot be said for a large number of altcoins that are only listed on a few exchanges.
It also means you don't have to fuck about with potentially dodgy altcoin wallets/services... especially given your propensity for making every process/decision you make regarding cryptocurrency into a giant 20 page thread of "what if?" scenarios. You have a Ledger, it supports BTC. Problem solved.
TLDR: convert everything to BTC. Withdraw BTC to your Ledger.