Puller electric fan with 4 core radiator?

Exactly right. By the time you get to the 3rd & 4th row of tubes, they add little to the cooling ability of the radiator.
Best solution is clutch fan. There is a myth that elec fans do not cost power. They do cost some power & the amount will vary with the fan motor rating. A higher rated alt is also likely to be reqd.
Well, let me state the obvious. An elec fan doesn't cost power when it not on.