Give it a whirl
I did the dancing. There has been a lot of good comments already in regards to this. I do also see it as a need for a greater connection.
Faeries are carefree, simple and fun-loving. We are far too tense and uptight as dealing with the daily grind we tend to have as adults. This is an outlet for expression, creativity, and releasing of spirit and soul needing to flow from us. It somehow both releases and expands us, maybe kind of like chi, in that we have clutter that needs moved, dealt with as means to allow in the new and wanted into our lives.
Dance is art, and art is heart and a brush with the Divine. Dances can convey depths of sorrow, longing, loss, or the fullness of joy and happiness, all in movement and without a single word spoke or sung.
Another thought too, is vibration. All of the Universe and within it, sing with a vibration. Our abilities to intuit is picking up on a similiar vibration or attuning to theirs and connecting.
For myself, I chose a time alone, remembered the joys of my childhood and whirling to music. For this exercise, I didn't even bother to play any music. I stood in the center of the room first breathing deeply, eyes closed, standing meditative wanting to connect with them and whatever within me needed to come forth in expression. Within a few minutes I opened my eyes, opened my mouth without knowing what was going to come out and just with 'ahhh, oooooh, dee, and la' type sounds sung and started to move, to which gave way to complete dancing. IT WAS VERY FREEING. I wonder if the fluid feel of this, the ease of it, helps us not to be dis-eased? Somehow I feel the fae saying "Its all faery simple, you see?!"
If you truly cannot ever let yourself experience this and if you are concerned about others seeing you and wondering "What the heck?", then sit at your computer with it on a music site, put on headphones, and turn the music low (if it affects you adversely), then close your eyes and wish to connect with them. Meditate a focused meditation that this is for this purpose and sit in your chair and sway as you are guided. If that is still too much, then just toss the head, or roll it a bit, swaying may start.
Just allow any on-lookers to think you are so deeply involved in the music, that it is stirring you.