Dance studio photos... HELP ME!

I'm building a website for a friend that owns a salsa dance studio. I'm trying to take some nice photos but I can't seem to get them right. As you can see from the photos, I tried different methods but I'm still not convinced with the outcome.

This first shot was without flash and a high ISO. As you can see, there's some blur on their movements so I guess we can scratch that idea out:

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Not an expert but just some ideas.

The place looks really small, say 600 sf? I would have just one couple dancing and take it further away, maybe with a 50mm or 85mm? Another idea is a wide angle, one couple, lower the lights and off camera flash, but this would take some time to get right with the flash. Keeping the angle a bit lower, say about shoulder level with the couple.

I don't know if this is a good idea but set 2nd curtain sync on flash and use a slow shutter speed to get more ambient light. You will get some ghosting though.

The wide lens is capturing everything and yet nothing in this instance to my eyes. It's by and large missing the interaction and emotion between the dance partners.

I'd try some on a tripod with a slower shutter as well. See if you can capture some movement.

Go back to how you shot the first one (ambient).

Now using the same aperture and ISO, increase the shutter speed one stop so that the camera is set up to underexpose the whole scene by one stop.

Then mount the flash and point it at the ceiling (I recommend placing a CTG gel over the flash head to match the lights).

The flash should pop and light the near subjects to freeze them. The ambient light exposure will keep the background from going dark, but it will still be under enough to keep ambient from ghosting too much.

Thanks for the tips gonna try them out next week

(we can blame the low ceiling for that) is part of the problem. The other part is that light fall-off is greatest when the flash is close to the subjects.

Generally, you use a shutter speed that will allow the dim room light to bring out the background, like you did in #1. Then you choose an f-stop that will allow the flash to properly light the closer people in the image. An auto flash will give you a pretty fair image on one of the auto settings, but my flash allows manual with settings from 1/64 to full power, & that's what I prefer to use. Whatever you're using, its always a good plan to shoots some tests, even if it's just at home in dim lighting, so you can get the shutter speed vs. f-stop right for distance shooting?
For calculating a M exposure with strobe, this might help understand how distance relates to flash output:
Fill light at sunset