It should not take a decent mechanic a freekin' week to troubleshoot a Mopar charging system. It shouldn't take him, in fact, over an hour.
Learn to fix it yourself. You can download "alternative" electrical diagrams at "Mymopar":
http://www.mymopar.com/index.php?pid=31
http://www.mymopar.com/downloads/1968/68BarracudaA.jpg
http://www.mymopar.com/downloads/1968/68BarracudaB.jpg
Or download a free Mopar shop manual right here:
http://www.forabodiesonly.com/mopar/showthread.php?t=132309&highlight=manual,+download
Get a meter and a test light. No excuses, either. Today, you can buy a good digital meter for 20-25 bucks. Hell, "back in the day" there WAS NO SUCH THING. We used Jap and Chineseo imported meters, and (gag) Radio Shack.
Either that, or we paid a LOT of money for a US built meter. Google "Simpson 260."
First, key in "run" engine off, measure the voltage at the ignition supply "dark blue." This is what hooks to the "key" side of your ballast, resistor, AND ALSO supplies the regulator IGN terminal.
On the old style regulator, this is the "push on" connector.
DO SO by putting one probe on the battery POSITIVE post, the other probe on the IGN supply at the ballast. You are measuring voltage drop, the less the better. Anything over 1/2 volt means you have a LOT of drop from the battery, into the ign switch, and back out through the bulkhead to the "dark blue" IGN supply line.
If this voltage is less than 1/2 volt drop, OK for now.
Now get a clip lead, go down to the alternator, and pull off the green "push on" connector. Take your clip lead and hook to the exposed alternator terminal, and hook the other to the big output stud. A small spark should occur when you do so.
Start the engine, watching the ammeter, and bring up RPM. The ammeter should come right up, and the faster you run the engine the more it should charge. Don't go nuts here.
If this is not so, take your meter and with the clip lead still attached, measure the voltage to ground at the alternator output stud. If this is very high when running the engine very fast, go to the battery and see if that voltage is also high.
If the two are vastly different, you have a problem in the "charging line" from the alternator, in through the bulkhead and the ammeter circuit, and back out through the bulkhead to the battery.
If this voltage is LOW, no higher than the battery or less, remove the clip lead from the big stud, and "rig" the clip lead over to the battery and recheck the output voltage. If it is now high at the stud but low at the battery, this confirms a problem in the charging lead. (Alternator was not "self exciting")
Now, if this clip lead test DID CAUSE a big charge rate, you have a problem, either with the regulator, or the regulator wiring.
Hook the field lead back up to the "push on" terminal at the alternator. Remove the regulator, if necessary, to get at the connections, but remove both wires from the regulator. Clip lead them together, and test again for charge. If the thing charges, then replace the regulator.
Oh, yeah, and fire your mechanic