If the snap caps dont chamber, they are either not to spec, or there is something out of spec in the gun. New 1911s tend to be quite tight and need some break in as well, so keep that in mind. If lightly tapping the back of the slide doesnt put it into battery, I wouldn't force it as that snap cap might get stuck in there or break your extractor.
You had mentioned wanting to practice reloading and dry firing, so you'll want a snap cap that is actually a snap cap. Some of the colored variety A-zoom branded ones are more "action proving devices" rather than something for your firing pin to bang against to prevent damage. If you look at where the primer pocket is, and its indented in farther than your firing pin will hit, its an action proving device and is doing squat to prevent damage to your firing pin assembly.
For the "snap cap" effect, I like the clear tipton brand ones that have a brass piece that has a spring attached to it to absorb some of the blow. These generally last pretty long. I also make my own snap caps using spent brass and primer pockets filled with cut firm erasers or hot glue. Then I swap the eraser/glue when they get beat up by the firing pins.
Edit: One other thing I forgot to mention since new shooter and new gun. If you're helping the slide forward rather than letting it slam home on its own, that might be a reason why it wont go into battery.