Many years ago as a second year engineering student, we studied casting.
What always has to be taken into account are the thermal effects.
You make an exact mold, i.e. one that is the same size as the original part.
Then you fill this mold with molten, i.e. very hot metal. You have designed the mold well and it tolerates the extreme temperatures and has vent holes in the right places to let all gases out and the molten metal fills the mold completely.
Everything cools and you take out the new part.
You measure it against the part used for the mold making and the new part is too small.
The change in dimensions of the part is significant when setting up clearances to parts that are going to mate with it as the case with the worm gear.
In some instances the answer to this problem is to make the mold with a special plaster which expands when it sets. This expansion makes a mold for the molten metal just a little bit bigger than the original part.
Now when filled with molten metal and allow to cool you end up with a part the same size as the original.
This involves a lot of trial and error before you get a perfect piece.
My project was to make a high performance manifold for a weber carb.
When the mold was l done I took it to a foundry to have it cast in an aluminum alloy. Unfortunately for me, the mold did not fill completely and one of the ears for mounting the carb to the engine was half there. It took a lot of work to reach the point of pouring the molten metal in and I ended up with a piece of junk and the mold was destroyed in the casting process.
If I was in your predicament, I would be looking for a more traditional farm tractor style gearbox and work to make the fan and auger work with the gear box. The worm gear style in my experience is more often found on walk behind snow blowers.
Dave M7040