I know it sounds bad, but try harder. That is if you're willing.

Some ideas that might help:

*Put up an advertisement for yourself in Party Finder with all your info. Either look for a static, temporary group, LS or FC. Be patient. Last part is key.
*Advertise through shout.
*Join another server. Maybe make characters on high pop servers and post your advertisement to see if you get any bites before transferring.
*Make your own group(s). Lay down the law if the same person keeps holding you back. AKA PuG it till you make it. It's possible.
*Join the learning groups that are already made, accept that you'll fail but better yourself in the process for as far as you can.
*Talk to people. Make friends. Through friendships you may make connections to experienced groups willing to help you.
*Search for online gaming communities that play FF14. As aforementioned, put yourself out there and try to create friendships and connections.