That should be fun!
Sears Roebuck and Bannermans cut down scads of rifles to carbine size in the late 1800s-early 1900s to sell as cheap hunting guns when the trapdoors were being phased out and sold as surplus (both 50-70s and 45-70s). There were a few indicators, none of which matter in a strictly shooter or hunting gun context, but if it has a sling mount in the front of the trigger guard, it was probably originally a rifle or a parts gun, filled in cleaning rod channel in the fore end in front of the band, its a cut down rifle stock, if the rear sight is marked with an R instead of a C, rifle part.
Original trapdoors have remained surprisingly affordable, particularly if modified guns dont bother you. Some are a bit more cobbled up than I would want to mess with, but a gun being absolutely original in every aspect doesnt matter to me in the least so far as its got mainly original type parts (not neccesarily starting life on the same gun, just same basic type), and enough left on the barrel to make it into something I like. Theres been some fine sporters made from trapdoors, one I liked was an English style sporter. A cut down rifle to carbine basic specs doesnt hurt my feelings in the least.
I believe most trapdoors bores run large. Check on the castboolit forum and see what those guys are doing for bullets and loads. I dont recall if @Outpost75 has messed with trapdoors much but i suspect so, he may have some info to share.