The Mustang is definitely up to it. Most professionally designed/built hitches are "bolt on" and it is possible to install them with a minimum of tools/skills. HOWEVER, if you don't trust yourself with this definitely get some assistance. If you take it to someone else to have the wiring done, make sure they either use a weather tight plug in connector or use shrink tubing on all of the connections (one of the signs of quality work). In my opinion, "scotch locks" and electrical tape are a no-no (other people's experiences may differ). The fasteners that hold the hitch to the body should have lock washers and/or locking nuts (there are several different types) and/or a threadlocker (Loctite) on each one. Any of the above is probably adequate, more than one is better, all three is best (belt & suspenders theory). Insist that
all fasteners be torqued down with a torque wrench (the best installers will do so without you asking.) There's nothing wrong with an air wrench to zip things together quickly, but the last 1/2 turn or so should be done with a torque wrench. Your Little Guy dealer will be very helpful in this regard as well. If they can't do the work for you, they will know who can.
Be aware, if you're planning on visiting southern Utah, you
will see significant grades on the highways/freeways. I'm not as familiar with Zion, but there are a minimum of 8% grades to visit Bryce (unless you come in from the county road to the North) and if you decide to take in the
SR12 Byway (very highly recommended and worth your time) you will see some short 12% grades. Would you be OK without brakes? Probably so, but, I highly recommend them (I have them on all of my trailers.) I feel that the ability to go is somewhat optional, but the ability to stop may not be. With the Mustang, you will have no difficulty being able to go.
Camping is EASY in Utah. If you want/need full hookups, they're available almost everywhere and prices are generally quite reasonable. I wouldn't stay at Flying J or Walmart, just because there are so many
better options out there. If you're willing to rough it a little, the options are
literally endless. This
website is where I initially send people, but local information on good places is often better.
Speak up when you come this way (post, PM, whatever) and I'll gladly share what I know.
This offer includes everyone out there. If you're into boon docking, (that's how I generally go camping) I know of some
incredible places to stay. Whatever you choose, enjoy your visit. After visiting once, I'm sure you'll want to come back.
BTW: I'm jealous of you being able to visit in a convertible ... There's absolutely no better way to see the beauty that you will be driving through.