Thailand, Taiwan, Malaysia, Singapore even. Look for cheap flights - should be no more than $3k for 2 including taxes etc. but no luggage to any of those destinations - and a hotel for $500-$1000 per night, depending on where and how nice you want.
Couple of examples for you:
We went to Chaing Mai in January for a couple of nights, paid $1380 for flights and $1664 for 2 nights in a nice hotel, breakfast included. Double the hotel rate for 4 nights, and that's $4700 for 4 nights...
We've been to Singapore a couple of times this year, paid $1850 / $2500 for flights, and $1650 / $1750 for 2 nights in city hotels, no breakfast - if you can find something like the lower end of those rates, it's affordable for 3-4 nights...
If you're willing to stretch and bargain hunt, you might even get as far as Japan with a budget like that!