i have a mallory unlite conversion in my stock dizzy on the stang and it's been on the car since around 1990 or so and i've had almost no problems with it in all that time. i also have the accel points eliminator kit fr my cougar that i haven't installed yet and it is the exact same kit as the mallory unilite only it's yellow instead of red....go figure. anyway the accel kit can be had on ebay for about 35 bucks or so which is the least expensive way to get rid of your points. add a good coil like an accel super stock or mallor hy-fire or MSD blaster coil and you're set. a nice bonus of running an electronic ignition like this is that you can open the plug gaps up a little and/or run a colder plug too.
i'm not saying that your problem is not with the carb and lies all with the ignition system but a better ignition system certainly can't hurt.
you never said which holley carb you had either. is it a 600, 650, 750 with mechanical or vacuum secondaries? for a 351c with a c6 i'd go with either a 600 or 650 with vacuum secondaries.
i'm running a 625 road demon on my 351w with mild speed pro cam and hedman shorty headers with around 9.0:1 compression and it works very well and doesn't need near as much fussing with as any holley i've ever owned but for dead nuts reliability right out of the box you just can't beat a carter/edelbrock carb. my old 600 casrter was only carb i've ever had that all i had to was adjust the idle mixture after i bought it and never had to mess with anything else after that other than an occasional re-adjustment of the idle mixture about every 8 months to a year or so.