Really, just use what would be considered a "normal" hunting rig. For example, a bolt action in any of probably 50 calibers, common variable dcope set at the lowest power. Say 2-7, 3-9; set at 2 or 3. The so called "brush busting" calibers are a often disproved fallacy.
X2! ..... A "bush" gun is more of a configuration of the rifle than the chambering. Shorter OAL, lightweight with a low powered scope will work fine. Magnums not required.