Not trying to force you into this solution, but I will say that the gear head could be significantly reduced in length for the lower reductions. They only have two lengths of gear head housings, so the length doesn't necessarily change with each added stage. In the case of the 19.5:1 ratio, there's still enough room in there for another for compound stages gears before they bump up the length of the housing. I've always given thought to putting the housing "ring" in a lathe and parting off a good portion of it.
My point is you could probably get one of these down to 2.5" to 2.75" in length if you wanted to try. It might be worth a punt, I know where you can get one cheap!
But then again, it might be simpler for you to go with a regular motor sans gear head and plug it into the existing gearbox. If you stick with a Pittman for that, aim for the type with the neodymium magnets. One of the last three digits in the model number are supposed to indicate which magnets are used, but at the moment I can't find that information again. I think it's the third digit, and you want 8X2X rather than 8X1X, but I'm not sure anymore. It doesn't help that the numbers have changed over the years.
There are plenty of Canons, Faulhabers, Portescaps, Maxons, and Pittmans that come and go on Ebay on a regular basis. Plus you have suppliers in the UK market that surely stock a suitable motor. You should be able to come up with something.
Jim