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
I do not usually use wallets for altcoins, I usually use it on betting or stock market sites, but I definitely do not recommend it.