It sorta evolved over time and some mods were done trying to compensate for other problems that were found later; so I certainly won't claim that anyone should duplicate exactly what I did. But here's what I did :
When I got the TR3A in 84, the original fan was in pretty bad shape. The rubber bushes were long gone and the fan had been banging back and forth on the sleeves so long that the holes were oblong. Plus, previous experience with other TR3s had shown that the cooling and charging systems were marginal for daily commuting and stop-n-go traffic. And, having read all the stories about how much power a stock fan (in general, not TR3 specifically) uses, I was hoping for some improvement in acceleration.
So, I removed the stock fan and converted to a 16" electric with a 60 amp Ford alternator to power it. That setup (with a common, 180F non-sleeved thermostat) actually worked just fine for many years. I did have some troubles with overheating during that time, but they all seemed to be due to things like bad water pumps and leaking head gaskets (another long story). Oh yeah, I also installed the cardboard air deflector between the front apron and the radiator (which was standard on later 3A's but not on mine).
Fast forward to around 96, when I gradually started having trouble with it getting hot on the freeway. Flushed the radiator, checked the timing, all the usual things; but it would still slowly creep up at speed. Wasn't too much of a problem for me, since I mostly only drove it to work; usually took the other car on longer trips. But I tried a lot of things to solve the problem; including modifying a radiator cap for about 7 psi. Eventually, I pulled the radiator and took it to the local radiator shop and asked them to check it. They did the ordinary tests and said it appeared to be OK, but after I told them of my woes and all the things I had tried, they ran a test for thermal efficiency and told me it was bad ! Apparently the tubes were no longer in good thermal contact with the fins, so even though it did not leak and flowed water just fine, the heat was not being conducted from the water to the air. So, they recored it with a modern Modine core (that fit perfectly). I declined to have the crank hole installed (which he said would cut effective area by about 10% because of the tubes it would block) but opted to keep the original fill neck (which in retrospect was probably a mistake). POOF ! No more problems !
So, to summarize, I have :
16" Hayden fan, as a puller
No stock fan or fan extension
60 amp Ford alternator (to power the fan)
7 psi radiator cap (no heater)
Open bypass
Robertshaw 330-180 thermostat
Cardboard air deflector between apron & radiator
Aftermarket 270 degree sweep mechanical temp gauge
Likely I don't need the 7 psi cap, but since I have it, might as well use it. It gives more margin before boil-over when I forget to turn the fan on (never did get around to building the custom fan control I had planned) and I also like the lever to vent pressure without taking the cap off.
In traffic, in 115F ambient, the temp gauge did creep up a bit. But at speed or in cooler air temps, it did just fine.