Deep Dish Wheels
What you need:
Adorably small saw (cutting-wheels leave a lot of molten plastic slag)
A Suitable Wheel
Use your adorably small saw to shop the front of the wheel from the rest of the rim.
Clean that sucker up!
Using the backside of the rim as the front, you now have a deep dish!
If you want to use a smaller tyre, and the only ones you have come with too-tall sidewalls...
Carefully slice them off to fit!
Find different iterations that work for what you want them for.