Flush-cutting saws have no set to the teeth (set is where alternate teeth are angled very slightly left and right) and can therefore be used to cut off protruberances like dowels without marking the face of the workpiece.
Z-Saw make 3 such saws, as follows:
S-145 flush is the most common and can also be obtained with a double-edged blade.
Another flush-cutting saw, found in the utility section of my website, is:
H-240 utility flush