Amy and Kyle Hudson will set off on Friday on a ride which will cover 18,000 miles (28,968 km).
The extended closure caused frustration for residents and motorists.
A 26-year-old man was arrested in connection with the attack and released while inquiries continue.
The developer said it intended to apply for outline planning permission for the proposed scheme.
While some residents have expressed frustrations, one found a way to make people smile.
Christopher Ringrose, Marco Pitzettu and Brogan Stewart are to be sentenced on Friday.
The road is partially shut after a wall collapsed when a storm hit Derby in 2023, causing flooding.
Shirley Froggett, 84, died in hospital in October 2018 following a fall at a nursing home in Derby.
Patients from the Royal Derby Hospital have been competing at the World Transplant Games in Dresden.