My truck has been modified internally and it has Edelbrock 110 cc aluminum heads with custom built rocker assemblies, roller cam and valve train, different cam profile, etc. So when Blood Enterprises put the truck on the dynomometer and began to reprogram the ecu they discovered the normal fuel pressure was too low to obtain the desired Fuel/Air Ratio. They said it was around 30-33 lbs. There is a regulator in the truck for the fuel pressure, so they modified it to squeeze more pressure out of the stock fuel pump, which is in the tank. A fuel pressure regulator would be a cheap item to add to the fuel line just to see what your pressure is, so if the engine is not running right you can try to increase the pressure if you are going to try to use a mechanical pump.
But I can tell you that my shop (above), which is very sophisticated and designs proprietary engines for an exotic car builder in MI, told me a mechanical fuel pump would not produce enough pressure for my TBI. I have a Gen IV Big Block, which has a port on the block for a fuel pump (newer versions of the block do not), and I had asked them the question when we were trying to solve the low fuel pressure issue after all the engine modifications. But again, this is a 454, not a 350, but I would think there would need to be more pressure for that engine, too.