As someone who is not a part of a large Free Company, I have been able to progress thru the content all the way up to and including end-game content.
Using Duty Finder, as well as the recently added Paert Finder, you can find groups to do just about anything.

Wait times for DF and PF will vary depending on yor role in the party; Healers and Tanks usually get into things rather quickly, while DPS will wait longer (somtimes considerably longer