I was there on Monday with my mom. It was only two of us; so that might have helped us; but we hit 4 of the 5 major coasters; and pretty much all of the animal exhibits; and were there from 10-4; and did not feel rushed.
One thing that helped was having the Busch Gardens app on my droid. If you have a smart phone; I highly suggest downloading that app!
We started the day off by going over to Cheetah Hunt. They had the 10 month old Cheetah out with her labrador companion, and were playing with the two. It was super cute to see!
Cheetah Hunt (which opened this summer) had the longest line; and this area of the park was really packed first thing in the am. We stood inline for about an hour here.
On our way out of the Cheetah Hunt area; we saw new cheetah's out with a keeper talking about how these 3 were siblings and had only been out on the public habitat a handful of times, so it was fun to see them checking out their new home.
After that we just made a big loop in the park. We headed back towards Kumba. We did stop and look at the Otters, Elephants, and Tortoises. Then back to Kumba. It was walk on. We easily could have rode more than once.
Then we wandered through Jungala for a little bit, watching the Tigers and Orangutans. After that we headed past all the water rides (too chilly for us); and rode Shiekra; and had to wait about 30 minutes. We ate lunch at the QS BBQ (which was really good!) that's right under the Shiekra Ride (I forget the name of the restaurant).
We then took some time to digest after stuffing ourselves. We walked around and saw the Komodo Dragon's, Kangaroo's, and the Great Apes.
We headed back into the Cheetah hunt area, and straight on to Montu. We waited maybe 15 minutes or so, nothing too long. And then walked through the Edge of Africa to see the animals back there (as I embarrassed my mom singing "I want a hippopotamus for Christmas").
We were lucky enough to walk past the cheetah exhibit again the last time; right as they were getting ready to "Run" one of the cheetah's. It was really cool to see them run as fast as they can!
Also, our 6 hour tour of the park included a trip to first aid because of me getting a bad sliver in my thumb while I was trying to take a picture. And we, of course, ended with ice cream on our way out.
Overall, I'd say we had a good time. The Cheetah area seemed to always feel crowded. When we first got inline for the ride, it said 55 minutes, later on in the day it was 75. So, my best advice would be to head there first to ride that ride. And that whole area just felt packed. Everywhere else, we didn't seem to have a problem with the crowds. I do visit BG a few times a year; and I've never seen it this busy; so I was very impressed that we got as much done as we did; with the time we had there.
Hope this helps!