As I said, I tried sending 0 POS with 0.1 GWEI price - working perfectly
Proof:
https://etherscan.io/tx/0x00d635f4501bdc97384583d6469f5f611fb0a6c6683f6cfe9c254044ac323ad1For anyone still having any issues.
Import Your wallet to MEW (
https://www.myetherwallet.com/ - by UTC/Priv Keys/etc - ALWAYS make sure it's original one by checking SSL certificate) by clicking
"Send Ether & Tokens" -> Click
Load Tokens-> For recipient address type
same address you are sending from-> For Amount type
0 and choose
POS-> Leave
Gas Limit as it is-> In upper right corner click on
Gas Price: XX GWEI, use slider to specify
0.1 GWEI price-> Click
Generate Transaction -> Click
Send transaction ->
ENJOY You can send tips to my address specified at tx - POS highly appreciated

Yeah I found the problem, in first transaction I used too low gas and was rejected, so I didnt get coins, but pos state reset. So when I tried again there were nothing to mint. Will know for the next time.
~snip~
Tried the 0.1 GWEI... Transaction not found LOL!

Tried it again with 0.6 GWEi and it works
Well for me it worked with 0.1 GWEI price, saw someone using even less (like 0.03GWEI), so I'm not sure why TX was not found.