LOL, SonicGuy, I think you mean Ritz CARLTON. I just had to laugh b/c..well, you know Carrollton is nice enough, but it's not the Ritz.
It really depends on how much free time you have. I mean, if you have an entire day you could take the Tarantula train to the Stockyards in Ft. Worth (not really my thing, but it's worth a visit at least once).
Personally, if I went home for a few days in the summer (well, not home anymore, I guess I should say my parent's home
) my FAVORITE thing to do is Shakespeare in the Park at Samuell Grand. Pick up some picnic items (Central Market or Whole Foods will have some really good pre-prepared stuff), a bottle of wine (can you still do that? don't know if the laws have changed) and go for an evening under the stars
Just be sure to get REALLY good directions, and try to go with someone, b/c while there are alot of revitalized lovely areas around Samuel Grand, it is just a hop and a jump away from some really scary parts of town. In all the years I've been though, I've never, ever seen anything bad. Good police presence, etc.
I really have always enjoyed walking around the Mustangs, canals in las colinas. It used to be one of my favorite places to go on a summer night, in fact.
You can also take in a ball game in Arlington, since it's right next to Six Flags. They have some pretty cheap bleacher seats.
If you wanted to splurge on a nice dinner and watch the trendy-set for a while, take a trip to West Village over in Knox-Henderson area. I also liked going to the Inwood Theater (though haven't been since it was remodeled). It was kind of an old-fashioned movie theater, and they show more alternative movies mixed with blockbusters. Really cool bar in the lobby
Also near there is the original Campisis - awesome "egyptian" pizza. Get the "all the way" pizza and/or the chopped. The original restaurant (on Mockingbird Ln., don't mistake it for one of the newer ones) looks just like some old Italian restaurant you'd see in The Godfather (rumored that Mr. Campisi was attached to the mob). Love everything about the place.
Hope you have a good time!
I wanted to say something about Southfork. Everyone notice that the first thing anyone says after seeing Southfork is the same thing that they say about the Alamo? "It's so small in real life!"
) so Shakespeare in the Park is right up my alley! And watching some western dancing sounds like a blast! And shopping...and a zoo...it all sounds like so much fun! I'll have a few hours each night to myself and then a full day Saturday. I'm definitely going to check out the show at Six Flags - I'll poke around on-line and see what I can find. 
