I've found that the bigger the frog, the more time they spend on the ground. Terribillis almost never climb, tincs and azureus rarely do, leucs and auratus you see all over the place, and smaller frogs like my vents rarely come down except to feed.
Of the frogs I've had my most active climbers are D. galactonotus, E. tricolor, and D. ventrimaculatus. I like tha galacs the best. i have them in my favorite orchid tank. They are all over the place and easily seen.
I have had plenty of tincs and auratus that have used the entire terrarium; however, you have to give them a lot of space (at least 40gal.) to bring this out of them. A large water feature helps as well. The vents and tricolor's definately use every inch of space you give them.