The later fan is a good idea, but you can, and should balance the original if you intend to keep it. What davey and Bill Young may not realize here, is that on the TR cars, the fan is mounted to the CRANKSHAFT, not the water pump. The pump won't suffer, but we balance all the rotating parts on the crankshaft axis for a good reason. Sympathetic crankshaft flex and premature main bearing wear ain't a good thang! But it is indeed easy to do.
Go to your local home and garden store and ask for a mower blade balancer. (two cheap pieces of plastic) You can take it from there, I'm sure. Have fun.
Motorbill
From Lola to Land Rover, If it's British and has wheels, it's likely I've bloodied me knuckles thereupon