I have a SR5 H. I haven't played or heard the others live. I don't want to; I couldn't be happier with it. Take it from a Music Man noob: You'll be happy whatever.... A HH would look meatier, though, and my next bass (in 20 years time, probably!) is likely to be a Bongo 6 HH.
I tried a HH SR5 20th Anniversary and thought it sounded very good, but other than that I've only ever played single H EBMMs. Honestly, I am still not used to the look of the multiple pickup basses on the StingRay, StingRay 5 and Sterling. There is an inherent beauty in the single H models that the others seem to lose for me.