Thanks for all of the suggestions, folks. I know taking off the upper intake will give me much more room but I didn't want to resort to that if I could help it. (Not that it is hard, I'm just lazy.) I also thought about using a broken bit but I threw away my last one.
I was leaning toward the bonding (tape, silicon, etc.) because I thought it looked a little better.
Again, thanks for the suggestions!
RedJoker