OK no vapor lock. Fuel pumps 'usually' fail dead and don't become intermitant.
However, anything is possible. It will be necessary to do a pressure check. You'll be looking for 14.5 psi on the fuel pressure.
Also, once the timing is correct and it's still acting up I 'strongly' suggest you consider looking at the link in my signature regarding drivability issues.
I've had an '86 Daytona for 27 years (since new) and it's had some of these same issues. But, it usually throws fault codes. You will need to see what these codes are for your car if any. Then, in other cases my car had drivability issues with no codes. I can say that nearly EVERY time it was not a part but rather a connection. Bob Lincoln and I removed my engine harness one connector at a time, cleaned each connection, verified the wire connected at each and and at the computer. Once the work was done the car behaved normally for a few years. Then, it started acting up again. The set of connectors we didn't check were at the computer itself. The wires which are connecting the harness to the computer have clips on them. In my case several of these spring slips lost their 'spring' and needed to be replaced. Since these were replaced the drivability issues disappeared. I've rarely if ever had to replace a part with a few exceptions as can be expected in a 27 year old car. Most every time my drivability issues have been related to wiring issues.
Consider checking every wire and every connector. In the case of the 2.2 TBI (single point injection) there is a harness which goes behind the valve cover and connects the speed sensor, O2 sensor, throttle body temp sensor, AIS moter and throttle positioning sensor to the computer. After many years the wiring which lays on the manifolds loses its insulation due to the heat. This allows the wires to short either to ground or to rub against each other. Remove the harness so you can check it in comfort. Check for lost and broken/brittle insulation and repair as needed. But, don't stop there. Check the other harness connectors. There are some behind the battery and one at the distrubutor. In addition, oil soaked wiring/connectors is not a good thing either.
I know this a long list of 'things to do' but you do have a 28 year old car and well, things happen. Let us know what you find.