I haven't done a 37. It's it's the same as my 38 you remove the hood and center brace. Remove the hoses, unbolt it and left it out the top.

@tiny thanks for your response! I think the baffle on top of the grill for our 37 has spot welds. I was inspecting it yesterday and noticed some spot welds. I think this is factory like the trucks, not sure.

Again, I don't know how this translates to the 37. The image below shows the upper baffle forward of the radiator. It's screwed on on the 38. The core support brace aft of the radiator is riveted on. I erred in not mentioning that the upper baffle must be removed as well. If the baffle on the 37 isn't removable I won't be any help. Good luck.

@tiny a lil different than 38. 37 has this large baffle/support.

Interesting. First time I've seen that aspect of a 37. I wonder if there's room to rock the top of the radiator back with the fan removed? It about has to come out the engine side.

@tiny looks like it but not sure if water pump has to be removed as well. Ill try that first if not ill drill out the spot welds.

@tiny i spoke to a friend, he said if water pump is removed there is enough room to pull radiator. I will try and let you know.

I can't imagine having to pull the water pump to do it but stranger things have happened. Before you do that, look at the fasteners where the radiator bolts to the core support. That will tell you which way it comes out. In other words, if it rests against the aft side of the core support flange, it comes out the engine side. If it rests against the forward side it needs to come out the front and you'll likely need to pull the grill. The grill on my 38 was actually fairly simple to pull. I'd hate to see you go through the hassle of pulling the water pump only to find out it's on the forward side of the flange. Understand this is all 'could be' 'may be' because I've not done a 37.

@tiny radiator is pulled through motor side. I think its a good time to rebuild the water pump anyways as radiator is full of dirt. The correct way is probably to pull the grill shell but that is lil more involved with getting the alignment and gaps correct again.

The hassle involved might be why they redesigned it. My 38 came straight out the top after the hood was removed.

@tiny yes, it does! That would explain this guide I found online to remove the grill of a 37. Removal is a lot easier on a 38 and later models. When i removed the radiator from my 40, it was a walk in the park compared to this lol. 

@tiny I finally got around to removing radiator. I did have to pull the water pump and thermostat housing to sneak it out through the top. I also checked my manual, and it shows that way of removing. Ill upload a picture later.

Obviously designed by people who never had to do the job.

@tiny LOL. Yes, definitely hope not to do it again any time soon. My 1940 is just 10 bolts and its off. In and out within an hour.