All the poetry I write is in free verse and in a mode akin to stream of consciousness.
Poetry is a voice I use to write about images or ideas of a spiritual, metaphysical and even transcendental nature that I come across from time to time.
I'd have to say that one of the most inspirational free verse thinking writers who really inspires me to dream and write about what I see, would have to be Clive Barker, who has fantastic breadth of imagery that really pushes the bounds of the accepted generic normality of perceived existence.
I'm not famous or anything, and doubt I will ever be mentioned in a school classroom, as a cause of study, but if you'd like to see my work, please feel to browse.
As Doug Bradley once said: "We have such sights to show you."
"When I Heard the Learned Astronomer" I assume. Not a bad one, but I would rather go with "I Sing the Body Electric" or "Song of My Self." Much longer poems and much looser structurally, but they're more groundbreaking and better highlight what made Whitman so great.
If you're more familiar with poetry that utilizes set meter and end rhyme schemes, it may just take more exposure to free verse to get more comfortable. Also, the more you read, the more you'll find free verse poets you can tolerate. As far as other free verse to read, I would suggest looking at the early 20th century Modernists, like Eliot, Pound, or H.D. Odds are you might like Eliot, since he actually did make use of end rhyme free of a strict metrical scheme and was adept at working in meter if he wanted. Wouldn't recommend "The Waste Land" to someone just starting with free verse, but you might dig Prufrock: [link]
Archy & Mehitabel by don marquis is a fun book. Nearly anything by Billy Collins thrills me. And don't feel bad; I have never managed to get through my complete Whitman collection, though I want to so I can fairly explore and judge, but Dickinson doesn't do much for me. She's not a bad poet; just doesn't stir me in any way.