Well, silver based photography, whether conventional silver halide based or even going back to the daguerreotype process, rely on the selective photoreduction of the silver compound to a grain of silver metal. The underlying concept is silver is just barely noble enough a metal that it can exist as a compound, but light provides just enough energy to begin to reduce it to a free metal, and developing agents can work on the latent image. So:
AgBr + λ
Ag
*Br
AgBr +Hydroquinone
no reaction
Ag
*Br + hydroquinone
Ag
0 + benzoquinone + Br
- You can balance that, the reaction is actually more complicated
If uranium is chemically similar to silver, you're looking at a similar reaction. I've never thought of uranium as that noble a metal, it readily forms compounds. But that's the angle you can work with. I.e. balance the silver reaction, and apply it to uranium.
And hey, no need to be shy about uranyl salts, they've been used as colorants in ceramics and glasses for centuries. You're not building a nuke when you make a photographic solution. If you're into this sort of thing i.e. you've made so many daguerreotypes that its become boring, by all means go for this process.
I actually still use film in my camera, everyone else I know has gone digital.