I sang in an acapella choir in college, and we had this one song called "Deep Peace". Almost every line of the song contained the phrase "deep peace", and it gave me all sorts of challenges. I didn't know what to do those those two P's right next to each other like that.
Our director was constantly telling me to pronounce both P's, but I couldn't for the life of me figure out how to. I would sing "Deee-Peace...", and then when berated I would try really hard, closing my mouth very firmly when I got to the double-P's, and it would come out "Deeeeeeeee-Puh-eace". That was the closest I ever got, and I was really just lingering on one P, not pronouncing both of them.
It wasn't until after I'd graduated that I told this story to fachless, and she explained to me I needed to sing "Deeee-puh-peace", and it would sound correct. I tried it, and it worked!
Finally it made sense to me, and I could pull it off. Unfortunately my director never got to hear my new skill, and I haven't been asked to sing the song since. Oh well....