$200 for a straight 8X10? Personally, I'd say no, but it depends on your DIY skills and what tools you have available. There are a lot of videos on how to install laminate if you want to get an idea on what's involved. Here's one example:
If you don't want to DIY, then $200 might be well worth it.
That presents a different approach to a "standard" floor.
In that case I would go with Ply..If you get good quality, you will have a better surface,and, you can lay it in 2 equal sections.. DONT polyutherane it.. find a good parafin wax , apply, and let it settle for 24hrs..then buff .
I feel this way about any kind of project where the materials are cheap but specialized labor is costly (painting, or dare I say, making a ballroom gown, frex). There's usually a reason it's costly, which I find out the hard way when I'm halfway through doing it myself and wish I'd never got started and then have to pay the professional to finish the job anyway. In the time you've spent thinking about it, it could have been done. What's your time worth to you? Just pay the pro.
I'm pretty sure anyone can figure out how to install snap-lock laminate floor. If Home Despot doesn't provide demos, there are hundreds of videos on teh intarwebs. It truly is neither brain surgery or rocket science.
8x10 is really tiny, and the moment your dancing gets full sized your small dance floor will be making your dance worse. I suggest putting the $$s and time into floor space at a local facility, or even in the hallway of your apartment, or a gym.