edit: did a google search on the pyle brand, and nothing really came up as favorable... starting to reconsider.
Oh I wouldn't expect to find much favorable about them either - they definitely are going to be the "bottom of the barrel" in terms of quality and reliability... which is why jostenmeat's answer of "NO" is the real answer.
Anything you attempt for "loud & quality" on any 3-figure budget is not going to be great. Just do some searches for peoples opinions of the BIC speakers indicated and you'll find people with problems too.
Now on their higher-end lines I actually think they make quite decent speakers for the money... however, in their case that money is still at least twice if you factor in an amp.
I think you need to determine what you absolute priorities are (in order) and then perhaps a better recommendation can be made. Your options are:
1) Cheap
2) Loud
3) Good
You can pick two of these and we can make some recommendations... note however, that there is a fourth quality: Reliable. That one will at least double whatever the cost of the items selected based on the above equation.
For example: I have about the same size room for my home theater that you're going to use as a dancefloor. I also have a limited budget (although much larger than your own) so I purchased TWO of
these. I knew that one of them wouldn't get there in my space... but with two I would get very close, and it would still be much more tolerable to my pocket than getting one of
these would.
There are many who would consider my setup to be too 'light' in the bass department - but I don't like listening terribly loud... so it's great for me.
When I had a budget of $550 - I bought some cheap Klipsch Synergies and picked up a used AVR from a pawn shop. It would get pretty loud - not party loud, but home-theater loud - but it didn't go terribly low and it wasn't very clean sounding.
You've indicated you have a very specific and fairly temporary (2-3 years I assume at most) need - to get DAMN loud and have a pumping bass feel. But you have to push the budget to get even to the level that those Pyles cost.
Your only options to do better are to really break the bank, to get really lucky buying used gear from a pawnshop or CL, to deal with "you can hear it over the conversations" loud but not really feel it in your chest, or the final option: rent a setup when you're ready to have a party.
There's a reason why DJ/PA equipment rentals exist - because the ordinary person simply doesn't have the budget to get the extension required to power a very large space loudly enough.
However, you're more than welcome to do as I said in an earlier post - and set up what you have. If that is almost loud enough for you, then you might have some options... if on the other hand you wish to achive a "wall of sound" or "thunderous club feel" in your room... and you want to do it on a limited budget - then Jostenmeat already gave you the right answer and I'm just spinning my wheels.