The 27cm wodent wheel would fit but don't think you can get them any more. They ceased manufacture some time ago.
Here is the 28cm wood trixie wheel in the maxi duna multy - is the cage the same height externally? This says 36cm tall which will be maximum external height.
Ferplast Maxi Duna
I did wheel measurements on this thread some time ago
The wood trixie is the same as the Karlie wonderland wheel - 32cm tall
Guide to suitable hamster Wheels
Zooplus listing here says 32cm tall as well. Out of stock but on Amazon I think. I am pretty sure that fits as it was the only wheel that fitted in my travel cage which is 35cm tall (externally) but quite a bit lower inside as has a hump in the base which isn't flat.
Trixie Wooden Exercise Wheel | Free P&P on orders PS39+ at zooplus!
I think the Zoozone lid slopes more than the maxi duna which has a more squared off upright lid - so the maximum height area may need to sit forward a bit.
The rodipet one would be ideal but SO expensive!