A 444 was manufactured by Case/Ingersoll from sometime in the 60's up till around the mid 80's, and the company was sold/reorganized a few times. If you go into a Case dealer today, they will give you weird looks if you even ask about these tractors... in their eyes they don't exist. Kind of an interesting history, anyway. A Case 444 would be equivalent to like a small Kubota and my dad's 224 is about the size of a typical riding mower, but they are REALLY high end equipment and extremely durable. Think $10k+ for a new one (they are still manufactured by Eastman.)
There isn't much to the ignition system - it's a single cylinder engine, the 224 I mentioned has a normal automotive canister coil on it. I'm actually kind of surprised it doesn't have a magneto, but I guess that's common on large-ish single cylinder engines. As long as a coil is present and has power and electrically complete, it is probably fine I'm thinking.
Side note, Duraspark swaps are so bizarre. I had an '84 Ranger that had a Duraspark distributor and box but used the rest of the factory ignition system, carburetor and coil. Ran fine. One I did needed to have a ballast resistor added to drop the coil voltage down - it would run great for a few minutes until the coil overheated (canister type.)