Snow park and cardrona are awesome. Treble cone has some of the best skiing I've ever experienced but no park. Those 3 mountains are most accessible from Wanaka but you can get to Snowpark and Cardrona from Queenstown if you really have to (Snowpark is literally over the road from Cardrona).
If you're basing yourself in Queenstown there is Coronet Peak which is the tourist mountain. If you're willing to explore you can find some pretty steep stuff and have some great adventures out to the sides of the resort. Otherwise the Remarkables is a good resort. Really good parks and if you want to hike you'll find skiing comparable to Treble Cone.
Just don't be fooled by the FD guys fucking around on NZ roads. Those roads can be really dangerous. Often just dirt roads up to the mountains with few guard rails.
Heli skiing is also relatively cheap in NZ. You can get a good deal for $600 NZD.