Hi Connor,
Welcome to the VCCA web site! That truck looks really cool!
I suspect this is a 1927 truck for the following reasons:
1. Even though the casting date for the block is June 23, 1928, I think this block was a replacement block for a '27 because it does not have the push rod cover bosses like the head has. The '27 single exhaust heads cracked a lot and it was a common practice to replace them with a '28 head.
2. I believe you are correct in that the '28 trucks came with 4 speed transmissions. In '27, the standard was a 3 speed and the 4 speed was optional.
3. The carb you have is for a '27 and some earlier vehicles. The correct carb for a '28 is RAKX-0.
If the truck is a '27, it is a model LM. If it is a '28, it would be a model LO. Both of these models had brakes only on the rear wheels (external = service brake, internal = emergency brake). Either way, it left Chevrolet as a commercial chassis (the one piece firewall/dash is the give away) and then went to another company to fit/make the body.
Another clue might be the headlight rings. If they have three steps on the front of the ring, these are '28 lights. If the front of the ring is rounded with no steps, they are '27s.
BTW, you have to be a VCCA member to post photos directly onto the club's server. But, as you have found out, you can link to photos that reside elsewhere on the web. There are MANY benefits for joining the club such as the ability to use the forum's Search Function, posting photos, access to technical articles, getting an award winning monthly magazine and a whole lot more.
One of the great technical articles is the 250 page documentation of Ray Holland's rebuild of a 1928 engine (very similar to the '27).
Three years ago, I rebuilt the '28 engine that is in my '27 one ton truck (Lurch - see links below) and that effort is documented here:
Resurrecting a 1928 4 Banger.
Keep us posted on your progress and come back often for info and answers to your questions.
Cheers, Dean