I would suggest that you measure the wheel wells to see how large of a tire you can fit in there. Then order a Tire based off of that info.
Once you determine the max tire width & Height. Then you can consider a rim and it's width that is needed. As with most 20" Tires they are very tall.
275/35ZR20
Rim Width 9 -11
Tread Width 10.9 on 9.5
Tire Height 27.6
285/30ZR20/XL
Rim Width 9.5 - 10.5
Tread Width 11.5 on 10
Tire Height 26.7
285/30ZR20 (( not that wide but it's a decent height ))
Rim Width 8 - 11'
Tread Width 11.4 on 10
Tire Height 26.8
285/55R20/XL
Rim Width 8 - 10'
Tread Width 11.2 on 9
Tire Height 32.3
295/40ZR20
Rim Width 10 - 11.5
Tread Width 12 on 10.5
Tire Height 29.5
295/45R20/XL
Rim Width 9.5 - 11
Tread Width 11.6 on 10
Tire Height 30.5
Once you have the tire determined / selected you pick the rim. If you want the deep dish look that all depends on the width of your rear end (not your girlfriends either). If you ride has a wide rear end that you may not be able to get a deep dish without narrowing the rear end. Which may i add is much easier to narrow then your girlfriends rear end. It's seems to be even harder with your wife rear end.
Okay enough of my banter. I hope this helps
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