With 100 competitors expected to take part, there will be a series of distractions, including “Mr Brunel himself doing everything he can to deter even the most determined competitors”, a spokesperson said.
Pharoah, the trust’s director of people and development, said it was an “exciting chance to potentially win the ship for the night”.
“And a brilliant way to rally together as a community to support one of Bristol’s most important cultural icons,” she added.
The SS Great Britain was designed by Isambard Kingdom Brunel, and launched from Bristol in 1843.
It was the world’s first iron-hulled screw-driven ocean liner and sailed around the world 32 times, covering more than one million miles (1.6m km) at sea, before being brought back home to Bristol in 1970 and eventually opened to the public.