Hi there, thanks for your query.
This is a tough question to answer, and I'll try to be as honest as possible. To start with, landing in Queenstown itself may be stressful. The Queenstown airport is often included in Top 10 lists for scariest airports to land in. To get an idea, perhaps take a look at this article. I'm not trying to discourage you, but I'm assuming that this may be something you'd wnat to know in advance.
As far as tours go, that's another tough one. Queenstown is nestled in a basin surrounded by mountains and gorges. All roads in an out of Queenstown have either windy and/or hilly sections.
Day tours in and around Arrowtown may be your safest bet. Take a look in this section here. If you were to contact any of the tour operators, be sure to ask if they go anywhere the Crown Range or Shotover Canyon, as they are both hilly and windy road. Due to having advertisers pay to list on our site, we're unable to promote one over the other, hence directing you to the above link.