Thanks again for all of the wisdom and helpful suggestions shared here. I've booked my trip this evening and decided to go to....
Bangkok!
After doing some pretty involved research and after price shopping airline tickets with hotel accommodations, I was surprised that I could experience Bangkok for a few days within my budget goal.
Flight from STL - BKK was $875
Hotel stay at Marriott Executive Apartments, Sukhumvit, 4 nights $525
I am really excited for this trip and cannot wait to experience the world famous food and nightlife Bangkok has to offer.