Whether there is a visible coil or not, there is a coil, AKA "Ignition Control Module". A thermal fault in these devices is not uncommon, and the typical failure-mode (after 30 years). About a US$55 part, or so. That being written, do you have a spark when the system is hot? You can verify that rather easily by pulling any given sparkplug wire (at the plug), installing a spare plug, grounding said plug and checking for a spark by running the starter for a few seconds. Or, if you have an old-fashioned induction timing strobe, seeing if it will fire (with the wires connected).
No spark, suspect the ignition module.
Good Spark, suspect the fuel filter, fuel pump or fuel system. Old fuel filters will often flow fine until the dirt particles pull back into the elements under suction. So one attributes the failure to ignition... A filter is about a US$35 ordeal.
Be systematic as repair-by-substitution is expensive.
https://shop.advanceautoparts.com/p/...ntrol%20module
https://shop.advanceautoparts.com/p/...=fuel%20filter
Peter Wieck
Melrose Park, PA