1987 Ram 50 4x4 M/T 2.6L Quits when warmed up?

[FMS88]

The ballast resistor is a white porcelain block next to the ignition coil in the center of the picture below:
PICT0007.jpg

The cut-off fuel solenoid is on the left side of the carb, below and just forward of the throttle opener.
PICT0003.jpg

You don't have to remove the carb, but you may need small vice grips to loosen the screw. After removing the screw and retaining clip, gently pry the solenoid out using a small screw driver. Here's the solenoid removed:
PICT0005.jpg
Test its electrical function - it should click when energized. Clean the side and end ports and replace the 'o' rings if bad. Install it so the flat side is opposite the mounting screw.
With the carb disconnected and a cold engine, it will start if the solenoid is good or bad. But it should stall once the engine is above 150 degrees. So I'm surprised yours continued to run with the carb disconnected. The cut-off solenoid is the only in-carb electrical component that can prevent idling. It should still idle, maybe poorly, even if the other electric components (TPS, choke, feed back solenoid) are faulty.
One other possibility is a bad connection at the carburetor's computer located below the right end of the dashboard. Pull off the two connectors and look for and clean any corrosion.