You won't find them sitting around in the afternoon, because they are basically nocternal. Getting them at dusk and dawn just means catching them at the start and finish of their active peiod.
When I was like six and seven years old, we lived in the boondocks of bushland northern Saskatchewan, when there was a tremendously high cycle of snowshoe hare. On a bright moonlight and northern lights lighted night, I used to dress up and go out, even in the bitter cold, just to watch the rabbits. In a half hour I might see 25 to 50, and I could get so close to them, if I moved slowly.
One didn't have to be out very long until the screams of a dying rabbit pierced the cold night air, as some preator got his late supper.