Anichich is surname.
Ahh I apologize! I still think Dahlia works best! Gorgeous name!
I don't think the "a" sounds run together too much, if that's what you are asking. It's not as bad as, for example, Jack Cook, where the sounds mesh together. I'm pronouncing your last name with the "a" as in "apple" and the ending of most of your names as "ah." So I don't think it clashes.