Probably NOT the coil - by 1969 they had sorted out the cracking coil issue and they rarely cracked by that point. The original 1969 era coils were kind of a maroon color and were quite stout.
More likely your points are dirty and need a thorough polishing and re-gap to .020". If the coils aren't visibly cracked, they're probably okay. Other possibility would be the condensers. In any case, it certainly sounds like you're running on one cylinder, and running in a barrel at home it is very easy to miss as those motors will run quite well on one cylinder.
Pull one plug wire at a time and note any change in running characteristic and I'll bet you'll find with one wire pulled, no change, and with other, the motor stops entirely.