Fowler & General both offer 4" vernier calipers. Both are probably made in China though if that matters to you. The Fowlers are $32 on Amazon.
Sounds like you want to avoid digital (due to bulk & battery?). I have a 4" Mitutoyo digital, battery lasts for years. These don't get used in the shop though, they live in the house/my room.
I also have an older 4" HF digital, of course the cheap China ones are battery eaters. I keep it around if I need to take em to the store or somewhere away from home so I don't have to take my good calipers.
Mitutoyo 4" digital calipers are full size, meaning the jaws & read head are the same size as 6" just shorter in length. They also have the thumb wheel. Cheap China 4" digital calipers are not full size, jaws are smaller, & no thumb wheel, so they're more compact.