It really just comes down to what you would rather wear. I personally just wear one ring to represent our engament and my wedding band. Here is a picture of both of ours. He doesn't wear his due to the line of work he is in, but puts it on for the times he isn't working. I only take mine off when I am cleaning or showering.
I wear both of my rings w/ the band on the inside. If I were to choose one, I'd wear my band cause I'd feel weird only wearing my engagement ring.
here's a picture of just the engagement ring:
& here's a picture of both of ours [excuse my manly hands :lol: ]
I wear a mother's ring.