The normal SU pumps only have 1.5-2 psi output and I wouldn't consider one for a 289. I didn't realize the Tiger used an SU. The pressure pulsation isn't so much a problem as the generally low pressure. The US factory fuel pump was 4-6 psi and the minimum output was 22.5 GPH. Ford used that spec for HiPo 289, 390, etc.
Some of the later SU's were 'high pressure' which meant 3 psi. If you need the look, one of the HP SU's would be better than what you have.
Is the SU in the engine compartment? If so, and you can hide a small 5-6 psi electric pump at the rear, you can run the rear higher pressure pump output through the SU lines and the SU will just shut off and do nothing. (I've done it, its a long story.) That would solve your delivery problem and still maintain an SU look under the bonnet. With the right switching you can maintain the SU click-click for show and when no one is looking turn on the REAL pump at the rear. (I works, I took home a trophy.