Two things come to mind.
First is the TFI module, these are known to fail when warm, let them cool off a bit and they work again.
Second is the Fuel Pump Relay, computer operates this relay.
On an '88 it will on passenger side of engine bay on inner fender.
Find Starter Relay then move back towards the cab it will be the first relay box you come to, often has a Green Base that the relay plugs into.
Relay contacts or coil can fail, turning key off then on again can get it to reconnect.
But TFI module would be my best guess, fits better with the cool down time.
You can test your module, problem is it will test OK cold.
testing here: Ford EEC-IV/TFI-IV Electronic Engine Control Troubleshooting
Read about a fellow that carried an ice chest around with ice in it, when engine quit running he got out the ice, held it against the TFI module for a minute or two, then engine would restart, lol.
That's how he tested it