If at all possible, one of the best things to do would be to look at known originals close to your serial number range. Here's two that were made just prior to yours. Both have type IV housings. The first just recently sold on GB, 4547xxx. Please see attached link.
Rockola M1Carbine Type I All Original .30 Cal : Curios and Relics at GunBroker.com
The second, 4546xxx is pictured below. hth.
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