Tommy,
If I am right in my assumption that that small tank actually acts as a "reserve" fuel supply when the engine is in high demand you will need a larger fuel filter than a stock one. Remember the carburetors of that time required 4 or 5 pounds of pressure versus the 40 + pounds of pressure that fuel injection engine requires. I had two fuel pumps one in the single 40 gallon gas tank the other at the engine. I replaced the one in the tank.
And do not over-think the "running hot' thing, use something other than the gauge to determine what hot is. Been their done that more than once according to my wife.:)