I have no experience with that Music Man, but I do own the Squier Cont Act Jazz V, for a couple years now.
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That one.
With the understanding that the new ones are not ash-bodied as these first-gen versions (it is a fairly heavy axe) and probably somewhat lighter: I've been very happy with mine. It's very solidly built. The electronics are useful and quiet, and a bit different: The knobs are volume, balancer, master tone, and then a stacked boost-only bass and treble. Good bridge and keys. Single 9v battery. Piano Black finish that Yamaha would approve of.
I'm convinced that harder/denser woods are important for clarity, especially the low notes the big B-string can conjure, and this one has that in spades. Been very stable setup wise. I run the typical 45-130 set on it, usually the Fender nickel rounds or GHS Bassics.
The usual nitpicks for these are the weight (it's a grown man's bass, for sure) and the electronics 'need different pickups and preamp' which is just silly to my ears, not to mention I'm not sinking all that extra money on a Squier and losing my shirt when the time comes to move it. I find it's just fine, and very useable. As a matter of fact, I'm going to buy the Precision Five version of this, they sound that good to me with these electronics.
Of course, no case with Squiers, but mine rides around in a Fender FB60 bag.
This man's opinion.