Trial Roulette exists and a majority of the player base do it daily. Queue times aren't that bad.

Be patient and wait. Maybe work on some crafting while you're waiting on queue, or level an alt with some levequests, or heck alt-tab and watch a movie, there's lots of stuff to do during a queue.

Alternatively: BE SOCIAL. Make a party finder ad or ask in your FC for people to queue with you. If you advertise a poetics bonus you'll fill pretty fast.