Amazing! Thank you so much.
I've just tried SimpleSwap and it works fine. Also, not really higher exchange fees. Actually, didn't see any fees at all. Tried the smallest possible amount; 47 Hive (from Hive) to 0.07464 BNB (Crypto.com). Fast and easy. At some point, I'll try the other way around and your first suggestion;

...convert... to SWAP.LTC and then use Withdraw to withdraw to the LTC Crypto.com address, for example... Or you find some other token that you have on both sides (Hive-Engine and Crypto.com)...

Thanks a lot, @ph1102. I'll buy you a drink in Hamburg 🍸