The UK, Germany, Italy and US are taking part in combat training at RAF Waddington, Lincolnshire.
The entrance to the estate in Waddington was left with a "severe bump" when a contractor went bust.
The team, which pulled out of a number of UK air shows, was grounded in Canada due to the weather.
The team will not take part in air shows in Edinburgh, Eastbourne and Lyme Regis.
'Poor weather' has delayed the aerobatic display team's return to RAF Waddington.
The 100-tonne bridge over the River Witham will be used by more than 100,000 construction vehicles.
Contractor Balfour Beatty is installing a 20ft-high (6m) barrier to contain dust, the council says.
The crashes happened on Monday and Wednesday near Waddington and Sleaford, respectively.
The RAF air display team will get new aircraft under plans for a "British Jet Trainer System".
