As I said earlier; you're not going to get periods with a lot of predators or a few predators. The predators are always going to be in balance with the prey. If there are more predators it can only because there are more prey and vice versa. Nothing else can work. The only distinction in the time of the dinosaurs was that most of the predators and prey were very big (and of course the predators tend to me more interesting!)|. But there wouldn't have been an exceptionally large number of predators relative to the prey. That simply wouldn't be sustainable and if there were too many predators pretty quickly (ie within a generation) the predator population would collapse.Benign environments aren't necessarily good for promoting adaptation. And extra large brain cases and long gestation are not survival stratagems with a lot of predators around. Harsh circumstances with few predators are better for more rapid evolution toward problem solving adaptions.
And whose to say it's not the apex predators that might generate the intelligence? It's far more a question of whether you being smarter will make you a more effective predator that the huge powerful T Rex (or whatever). Or whether being a bit smarter makes you a more elusive prey than the big dumb other prey around you.