Use the project tab in the browser.
Bounce as usual, to a hidden track. Then drag that “hidden” audio track from the browser onto a new audio track. it’s not a one click solution, but a lot faster then how you’re doing it now (and fast enough for me really).
Be sure to hit “clone sequence”, otherwise the audio file will be a link to the bounced track and change each time you do a new bounce of the original track (unless that is what you want ofcourse).