"You should not expect much from a $10,000 pair of speakers and that they will be a modest level of performance"
First off, be sure to ignore this nugget of BS! There are splendid loudspeakers available for $5K retail.
That said, I'd take a hard look at used speakers. Next to cables, they are the most heavily discounted piece of audio gear....I see superb, late model speakers for sale here on AG regularly for 50-60% off retail. You'll be able to put yourself in a whole different class of performance given your budget. Going with an integrated is another good idea. Lets you avoid another set on interconnects, power cable, etc. The Dartzeel CTH-8550, Gryphon Diablo come straight to mind, also the Pass 60 INT or 250 INT depending on what speakers you end up with.
Consider finding loudspeakers that are somewhat sensitive, this opens up many more possibilities for amplification.
Do consider traveling to a dealer...someone has already suggested Suncoast...they have a great selection of gear.