The .44 Mag 94AE Wrangler is just not a good rifle for matches. I know, it was my first lever action. The 94 was never designed for short cartridges or for speed. It will handle .44 Special, though, so you can get 10 rounds in it. While I haven't tried it, I would imagine .44Mag rounds loaded with wadcutters might also allow the loading of 10 rounds.
Find a nice, used 94Marlin or a 92 Winchester clone in .44 Mag/Spcl/Russian, .44-40, (or .45 Special if you already shoot that). L:ast I checked, EMF has some good deals still on their Hartford 92s.
In the mean time, I found that it was necessary to drop the butt of the 94AE a little from the shoulder when operating the lever to 'assist' in the cartridge being reliably located for chambering.