The idea of a 'high current' amplifier is a bit mythological. If your speaker is a 6 ohm load (not particularly difficult for tubes, BTW), then it is easy to show, using Ohm's law, what is really happening.
Let's say that you've settled on a tube amp that produces 115 watts. Let's further say that you have a transistor amp that will produce the same power into 6 ohms. By using a little algebra (Ohm's law is Resistance = voltage/current), we can derive how much current will be flowing in each case.
Power = (current)squared X Resistance, so:
115 = (4.38) squared X 6.
This is the same regardless of whether it is tube or transistor. IOW, 'high current' has little or nothing to do with it.
You'll probably want to use the 4 ohm tap to keep the load on the output tubes at a good operating point for low distortion.
Since the amp specs are rated from its 8 ohm tap, it likely that you will have a little less power on the four ohm tap as the transformer is less efficient on the four ohm tap. The loss will be minor.
My guess is the real issue is whether or not 110-115 watts is enough power. Unless you are in a really small room (and depending on your listening habits) there's a good chance you'll be running the amp out of power if you try to play it loud.