Naw the only plane that could truely affect the arena is the B-36 Peacemaker. It's gravitational pull would change the tides.
The sixteen 20mm cannon defense, 435mph speed, 6,800 mile range, 40,000ft service ceiling, and 200,000lb bomb load would surely put in the perk catagory.
Oh yeah, and two DC-3 sized thermonuclear weapons to boot.
Ahh the ol 1948 SAC planes, ain't they grand?