"It was the first four-star I ever did, in 2004, and got 17th. I've only been twice since; the first time I didn't start the cross country and last year I made a silly technical error early and didn't carry on," said 34-year-old Price.
"I've definitely got some unfinished business there."
She'll be riding Classic Moet, who performed outstandingly at the world championships last year finishing fourth, and The Deputy.
"Both are looking good and both have a bit of experience at four-star level," Price said.
"If the competition goes my way they are certainly both capable of a top-five finish."
Her husband, Tim, a winner at the four-star Luhmuhlen event in Germany last year and an unlucky second at Kentucky last month, is ranked sixth and a big chance on Ringwood Sky Boy.
"I think he has a chance of a significant placing if we can put together three good phases," he said. "He's feeling stronger as each six months go by. He keeps getting better. Some take a little longer to put together the three phases to get a good result."
Four-time champion Mark Todd has two entries, Oloa and Leonidas II.
Paget, the only other Kiwi Badminton winner, two years ago before his suspension after the Burghley event a few months later, is a top chance; as is Andrew Nicholson.
He has won Burghley in the last three years, and his Nereo is a strong performer.
Nicholson, in dispute with Equestrian Sport New Zealand and excluded from the high performance squad, holds the record at 33 for the most Badmintons completed, but is chasing the only four-star title to have eluded him.
He's already bagged Burghley five times, and the Luhmuhlen, Pau and Kentucky titles.
New Zealand entries for Badminton
Jock Paget: Clifton Promise and Clifton Lush
Mark Todd: Oloa and Leonidas II
Andrew Nicholson: Nereo and Calico Joe
Jonelle Price: The Deputy and Classic Moet
Lucy Jackson: Willy Do
Caroline Powell: Onwards and Upwards
Tim Price: Ringwood Sky Boy
Craig Nicolai: Just Ironic
