Dionaea (VFT) will need a dormancy, but it will not digest frogs the size of its traps or bigger, they will be able to escape it. To be safe you should use it with frogs at least 1.5" long. The flytrap goes through two trap phases. Trapping and Sealing. Wiehn the tigger hairs, also called trichomes, are triggered, the trap closes. If there is no movement the trap wil open in a few hours to a day. If something in the trap is still moving the strap will close more and more, literally makes a EXTREEMELY tight seal on whatever is in the trap. You could use utiricularia, which will never be big enough to catch a frog. Small Drosera will work and all tropical Pinguicula will. Both Drosera and pinguicula are easy to be produced by leaf cuttings/pullings so from one you could make many. Heliamphora are quote expensive, and require slightly more colplex care that your average Carnivorous plant. The venus flytrap has been recorded to make 2" traps at the largest and usually about 1.25-1.5" long depending on the cultivar. I have written a care sheet on them that reveals the myths on them. I fond that flytraps can do better in highter humidity if you adjust them to it. But you'd need to supply a dormant period consiting of less light and temeratures ranging from 30F-55F from Late Dec. to Late Mar.
If you'd like a CP that will thrive as long as you care for your frogs, then tropical Pinguicula and Drosera are the ones to pick. (the drosera can capture small froglets and might kill them)
So Pinguicula is the best choice.