There was one of sorts back in the late 80's (87/88 I think) which involved Australia's best women bowlers of the time playing against a group of LPBT (PWBA) professionals.
The Australian team had players like Cheryl Munson, Ruth Guerster, and a few others......(I'll find the Pin Action mag later)
The Americans had Dana Miller-Mackie, Wendy McPherson, Anne-Maree Pike, Donna Adamek to name a few.
It was a very successful tournament from memory, and I think was held at Bankstown in Sydney.
It didn't have this, five bowlers bowling the one game stuff, like the World Team Challenge do though.