You can get the hand fitting heights off movement manufacturer's sites:
Movements from normal suppliers usually are the standard heights, but I've purchased movements from these places which had different heights but without warning from the supplier (often times to my detriment). You'll usually need to purchase the special parts and fit them yourself.
Beware not all movements are modifiable in this manner.
The 1198 series is available in different stem heights, but most of them are higher and won't make a good candidate to try and fit a thicker dial.
Most Chinese 11.5L movements (in my experience, which is very limited) have a stem height of 2.5mm. Guarantees of any kind are somewhat nonexistent when purchasing from a street vendor.
Also, movement clamps generally aren't used very often, movement spacer rings are more common. That's a positive thing because it allows any size movement (within the confines of the case) to fit, but they may need adjustment depending how much "give" the spacer ring has and how much thicker your dial will be.
I think your project is going to be predicated on a lot of experimentation and buying a lot of parts, many of which will not work for what you want to do. But in the end with enough determination, you should be able to come up with something that will work.