Myetherwallet
If you are sending LTC to Myetherwallet just the same as you commit suicide. wkwkwkkw
look here :
https://coinmarketcap.com/currencies/litecoin/#markets
you can put it in various markets.
but if you want you can keep it in LTC offline wallet
Yes your litecoi will be loss because it can not cross the different blockchain between etherium and litecoin.
Myetherwallet is not altcoin wallet but etherium wallet and it can be used to store token based on erc20.