I did things the other way round; I decided which engine to build and then bought a lathe to suit. I am building two 4" scale Burrell SCC engines. I bought a Harrison M300 lathe as it had the between centres length to turn the axles (~30" ) and turn the final drive gears and flywheel (~16" diameter) in the gap, like this:

However, those are the only parts for which I needed the gap. I would agree with Paul, the choice of mill is far more important. I have three; a Bridgeport, a large universal horizontal and CNC. While most of the work "could" be done on the Bridgeport the horizontal is excellent for cutting gears and acting as a poor mans horizontal borer. Even then some ingenuity is needed:

The CNC mill allows me to make parts i can't make on the other mills, like true bevel gears, worms and special cutters:

To summarise, by farming out a few parts the Logan lathe should be capable of being used for a 3", or possibly 4", scale model. The key to the build is selection of a mill, or mills if space is available.
Andrew
Addendum: Logan lathes are quite rare in the UK, but are good lathes. I had one as a kid in the early 1970s, bought for £10 via the local model engineering club. It was in a building in the centre of Bedford that was being knocked down, so either I bought it or it went for scrap. I bought new half nuts from Powermatic Houdaille in the US while still at school. Fortunately i worked at Texas Instruments, up the road from my parents, as a summer job and their accounts department helped me sort out payment in US dollars.
Edited By Andrew Johnston on 12/06/2022 23:39:48