Using the Swagman transformer to replace the external walwart, the AC voltage goes through rest of the linear power supply on the Schiit circuit board. The current that this linear power supply can provide is limited by the rating of the rectifier, which might be only 1 amp, since the Mani only draws 4W. (This means that using an even higher amperage transformer would not be an advantage).
If you were to input a DC voltage into the Mani, the diodes might let the voltage flow to create either a plus or a minus 5V rail ( depending on how the polarity on the plug happens to be) but not both. Not a good thing.I suggest you do an internet search for "linear power supply".
I am not an EE, but I can solder and read a schematic, and have built a linear power supply from Radio Shack parts many years ago. BTW, to build a Swagman "power supply", would have a parts cost of ~$70 if you use good parts, so his product is not a ripoff.