First of all do not trust your gauge. Get a calibrated thermometer or IR gun before you go making changes or worrying about anything you stock gauge or aftermarket replacement says. They can easily be 5-10 degrees off. I had an autometer gauge one time that read 236 Deg F when it was really 184 Deg F. I bet the old Ford stuff isn't any better.
Second as long as your radiator isn't boiling over you are NOT overheating. You are cooling. Fluid is circulating. It is nice to say that you want to stay below the atmospheric boiling point of water (212 Deg F) but it really isn't necessary, and most modern vehicles are designed to run hotter. With a 16# radiator cap straight water does not boil until it is over 250 DEG F. A 50/50 mix of antifreeze increases the boiling point even more. If you go look through a parts book at the idiot light switches you will find that most of them trip the light between 230 and 260 Deg F. What you like to have is a little room under normal operation to avoid problems when something unusual happens. It is OK to run at 240, but you only have a little safety factor until it boils the coolant.
Before you spend any real money chasing overheating problems make sure of the following:
1. The cap is good and in working order. Us at least a 15# cap.
2. You may want to put in a 195 Deg F t-stat. Belive it or not a higher t-stat will help.
3. Verify the gauge is working properly.
4. Make sure you have a burp tank and that it works.
5. Verify your timing is not retarded.
6. If you have a mechanical fan and do not have a shroud you may want to get one. Without a shroud the fan will need to be very close to the radiator. Close enough that it will hit it if the engine moves like if you drop of a ledge. If you have a shroud you need anywhere form 1/2 to 2/3 of the fan(depending upon who you talk to) exposed out of the back of the shroud.
7. Do not run straight water use a mix with antifreeze but no higher than 50% antifreeze. Any thing more than 50/50 is a waste. Even though it increases the boiling point antifreeze actually retards heat transfer so only put in as much as you need to be safe in the winter in your area.
With all that in place and working with your set up the next step may be the the removal of the electric fan. Especially a 13" fan. That sounds small for a 302 with no mechanical fan, but it depends on the set up. Do you have the mechanical fan in place? What some people do not realize is that an electric fan in front of the radiator with a mechanical fan behind the radiator does not necessarily increase airflow. It can actually reduce air flow. So if that is the case here you may want to remove it and try it without the electric fan.
Some people get away using only electric fans but I have never had good luck with electric fans here in Texas. Most people I know run more radiator to allow them to use electric fans. I use to run two side by side 18" electric fans on a 4 row 80 model chevy truck raditor in my Jeep, and it would over heat if I set the idlke up to 1200 rpm or so when running the winch.
I run a 302 with EFI, 195 Deg F t-stat, four row radiator, custom shroud, 18" fan, fan clutch, and I run about 210 (+/- 3) Deg F everywhere I go. In fact I just finished building the shroud and putting in the fan clutch. This weekend we drove over an hour in 101 Deg heat at 75 with no trouble. Before the change I ran about 225 under the same circumstances.