Buy a Mustang or I'll kick your ass!
OK, maybe not. But I really really like Mustangs. Some guys don't like 'em, that's cool. But, if you want that artificially super low end that's popular now, your not gonna get it. Actually, to get that you either need at least a 5-string, or some sort of synth enhancement IMO. I don't like that sound, don't play that kind of music, so it's not a problem for me.
But if you want something that feels like a guitar, and your beef is with the length of the neck, then by definition, you want a short scale.
Your other short scale alternatives are:
A Hofner (unless your going for an early Beatles-era sound, I don't think you'll like it-I could be wrong)
An EBO (Gibson or Epiphone) - I love the way they feel, hate the way they sound, but if muddy bottom is what you're looking for, hey, knock yourself out
A fender P-bass Jr. - quite possibly what you're looking for, just a smaller, short-scale version of a P - I don't like 'em, but that's just me
A Squier Bronco - I like them because they're weird (I go for weird), but I can't imagine anybody else actually liking it. Maybe you're the one. ( In the dictionary, under cheap POS, there's a picture of
a Bronco)
There's also the Epi Alan Woody. Listen to some early Government Mule to see if you like the sound. Very similar to the EBO to me.
They have a few different ones from time to time (they change the models available periodocally) at Rondo. Mostly cheap Fender knock-offs, but you can upgrade the hardware and electronics to your liking. More work and more $, but it's another option.
And as far as Mustangs go, the bass player for the Wallflowers used one during the 'Bringing Down the Horse' era; one of my favorites, Glen Hughes played one in Trapeze (but that was before your time), and so did the guy in Tin Machine (Bowie's project) at least for awhile. So yes, real live professionals play them. Go try one. You'll either like it or you won't. They do have a more midrange, guitar-like sound. But if you're like me and play 'lead bass', then it's perfect. My only gripe with them is the current crop only comes in Torino red (yechh!) or vintage white (boooring). If I bought a new one, I'd either have to have it repainted or strip it. Mine's been stripped, a very bad amatuer job, and I love it.
YMMV
Too bad Carvin doesn't make a short-scale, eh APL?