Putting together an A frame and wanted to split the wishbone or run hairpins was going to use a 37 axle but it has been suggested the hairpins or wishbone may interfere with turn radius.
I used a '35-'36 axle on the front of my A with split wishbones with no interference. I did mount the back of them to the inboard side of the frame rails to reduce binding and twisting a bit which also added a small amount of extra clearance to the tires in sharp turns. Lynn
Yeah, you will want something with more distance between the spring perches and the king pins. With either hairpins, or split bones, that axle will lead to steering issues, even if you put the mounts inboard on the frame. Model A, or '32-'36. Here are some pictures, just scroll down: https://droppedaxles.com/ford-dropped-axles-0#TXTOBJ7D8165132802C21
Here is a dropped A axle, split '37-'40 bones pretty tight at full lock. Looks like A bones in your picture which can make a difference.
To start with, if you use the 37 axle with a spring over configuration, you will need a longer spring as the perches are 38 1/2" and not 36 1/2" like 28-36 perches. The advantage to this is a better ride from the longer spring. Posie's sells a longer spring for this application. Using a Model A wishbone with is the shortest wishbone will help with keeping the wheel from hitting in tight turns. The 37 axle is 48" while the 32-36 is 50"s. If you drop the 37 axle, you need to strech it to maintain the 48" lenght. A combination of smaller wheels, tires, back spacing and types of brakes should easily make up for the 1" difference per side. 37 streched axle wth over spring.