Owner Phillip Carey bought the home in Shipton Road from the mother of Cannan, a convicted killer.
Two sites in Worcestershire – a former Army barracks and a field outside the village of Drakes Broughton – and a woodland in the Quantock Hills, Somerset, have also been searched in the hunt for Ms Lamplugh’s body.
In 1989, Cannan was jailed for life for the abduction and murder of Shirley Banks and two further rapes.
She was a newlywed factory manager from Clifton, Bristol.
Cannan was arrested 11 days later in Birmingham, where some of Mrs Banks’ possessions were found.
Mrs Banks’ body was later discovered in a stream on the Quantock Hills in Somerset.
However, Cannan always denied murdering Ms Lamplugh.
In October 2023, the parole board ruled Cannan was too dangerous to release.
The panel heard that Cannan still insisted that he was innocent and had not engaged in any accredited programmes to address the risk of reoffending while in jail.
At the time of his crimes, Cannan thought he was entitled to sex whenever he wanted it, preferred it to include violence and wanted power and control over women, the panel heard.
He was a category A prisoner, those who pose the highest risk to the public.