Andrew, Poloniex support take on average 7 days to return tickets now. It appears they are very busy. I am sure they will sort this out for you. So it maybe around 27th, 30th they will respond and start helping you out.
In the future, send a small amount like 1 LTC and see if that goes through. I always do this with a new wallet, address or when sending from a new Exchange / first transaction out.
Asking here for help and offering cash in person may only get you in trouble. Also not a good idea to keep such a high amount of LTC in your phone - with out being familiar with private keys, and having a backup for it. Maybe this is a good time to get familiar with your Loaf Wallet and backup your private keys or secret phrase.
Panic mode won't do any good, wait for Poloniex Support to get back to you, and go from there. Hope this helps bring some perspective to your situation.