Hi Stavros, welcome back.
You're asking about something I've dealt with before, having worked on websites and DVD's with dance artwork. Here's what I've learned:
You can capture a lot more with the composition and stylistic choices than you can with almost any dance pose. There are a few certain poses that are specific to one dance or another, but for the most part, most dance positions are flexible and can be modified to suit the style of any dance. Find a pose that gets you in the ballpark, but don't rely on that alone to tell the story.
Costuming and backdrop can help quite a bit. If you add a background, or even a hint of one, with an authentic twist (a run-down club in 1920's Argentina, an extravagant ballroom in Vienna, etc), you can engulf the dancers in story. They could almost just be standing there and the point would be made. However, you might want to use this device somewhat sparingly, to avoid coming off too cliche'.
As best you can, I recommend you rely most heavily on artistic elements such as color, style, composition, mood, etc to convey the personality of the dance. Instead of thinking specifically of a dance, draw your inspiration from a word, a sentence, or even a short story that describes your impression of a dance. It's a lot more compelling to try to paint "hot, intense passion" than it is to paint Tango. So start there and see where it takes you.
I hope this helps in some way.
Regards,
Jonathan Atkinson
www.ballroomdancers.com