For floor standers, you might think about a pair of these JBL Studio 580s
. With JBL's engineering, they will sound very clean and even, and with a compression tweeter and a 90 dB sensitivity, those things will blaze when you want to crank them. Plus, they look great too. $1600 for a pair.
Another great option for you would be these Emotiva Stealth 8 monitors
. It's self powered so you only need to hook it up to your AVR's pre-outs. Its amp is a lot more powerful than what your Yamaha could provide, and more efficient too, so every watt goes further with that thing than a passive speaker. It has a very heavy duty 8" woofer, and a very robust AMT tweeter that can get very loud- 115 dB at one meter. It's performance measurements are great, it is a very neutral speaker. A pair of those are $1500 shipped, right on the nose for your budget.
For the sub, my fav by far on your list is the Hsu VTF3. Massive output, very high sound quality, lots of adjustability to get the sound you want, extremely flat frequency response, and great customer service. Of your list, I don't think Epik is taking orders right now, you might want to double check the availability on that one. Another sub you ought to look at is the Dayton Dual woofer kit
. It has two very high quality drivers, and a absolutely inert cabinet. The sound quality on that thing will be very high, and it won't be shy of output either. You do have to do a bit of assembly, but that is very easy, all you need is a screwdriver, some glue, and an hour of assembly time. It's shipped price will probably be closer to $1k, and it is pretty heavy, but I think that thing would rule.