While you could use different swap exchange without KYC (such as eXch), you'll receive ETH worth $4.5 due or less to ETH network fee and exchange fee.
Can you please send the link of ( eXch )
this: exch.cx ??
Apparently you should be fine with that one. The minimum transfer amount is 0.001 ETH. 0.06 Litecoin (5.30$~) would get you that amount.