I believe the internal gears and parts are the same all the way up into the early 50s.
Similar but not exact?
For instance. The 28-48 Chassis "Green Book" page 291 shows truck transmission blow-outs for the various Ford trucks in this time range. They all reference a cluster gear "7113"
The next page (292) shows a chart showing the various "7113" gears - and some specific dimensions/tooth counts for the gears.
A-7113 is 5 inch overall length (Car)
B-7113 is 6.59 inch overall length (Car)
BB-7113-A is 6.68 inch overall length (BB Truck)
The tooth counts varied similarly if not more so. The chart indicates with asterisks any helical gear as shown in the pix. The blow-outs on page 291 appear accurately drawn including helix gears.
P. 312: The 7111 countershaft shaft varied at least three times during this period. The OAL of the Model A shaft is not shown. B-7111 was 8-9/32 BB-7111 was 9.160"
I have to keep in mind that the "Green Book" catalogs both Ford Cars as well as Ford Trucks.
So yes, it appears the "BB transmission format" was kept all the way up through 1948. Possibly even with the transition to V8.
The price of the "Green Book" varies depending on the Ebay seller. Some get BIG BUCKS for the book, others sell more reasonably - so shop around. Check variations on the title: "Green Book 1928-1948" "Chassis Parts and Accessories - 28-48" etc. Also check Abebooks and others.
P. 293 Interestingly, the AA-7006-A case assembly (i.e. the original Model AA case) is shown but indicated NOT SUPPLIED. Directly below it is shown the BB-7006 case for years 32-34 and below this the 59T-7006 case for years 32-47. This latter likely the "upgraded" case to correct the "design defect" of the original Model AA cases as identified by Vince Falter at Fordgarage.com Along with the 59T case is shown various bolts, lockwashers, and a flat washer to do a case substitution without the early case defect.
Later may be better in AA transmission cases.
Joe K