I think you will find the SDC20 is a rare bird, used on the CP125 and highly desirable due to the adjustable high speed jet. You should have an easier time locating an SDC37, but there were no particular part numbers marked on the carburetors, only the Walbro stamp indicating what the carburetor is. Keep in mind these were highly interchangeable and McCulloch was never bound to follow any system as to what carbuetor they put on the different models. The only way to know for sure what you are getting is to find the Walbro number on the body of the carburetor. While the overall dimensions on all the SDC carburetors is the same, the layout and orientation of the idle speed and L and H jets was variable so you may have to look at a few to determine which is the best fit. Also keep in mind that the CP125 and SP125 impulse signal came through a separate line to the fuel pump cover, the 10 Series all received the impulse signal through the mounting flange so if you find a suitable donor off a 10 Series you will have to find a fuel pump cover with the impulse fitting or add one yourself.
I put an SDC18 off a CP70 on one of my SP125's, in addition to adding the impulse fitting, I had to grind a little clearance for the H screw head and adjusting the H and L is quite challenging due to their location. The idle speed is no longer adjustable except for tweaking the throttle rod and I have to remove the AF cover to turn the choke on or off. I am sure I could make up a different choke rod but this particular saw is just a GTG cookie cutter so it doesn't matter to me. In my opinion the performance gain was well worth it since the original carburetor was the smaller version.
This is a 37A, I am not sure if the 3-76 is a manufacture date or something else.
McCulloch Carburetor Usage – SDC & Zama C2 Carburetors
Carburetor Venturi Throttle Idle Hi Used On
SDC 2 .625 .750 Ext Adj 1-10, 2-10A, 2-10PS, 2-10G, S2-10, 3-10E, 5-10E, 5-10G, 6-10, LG 6A, S LG2, S60-10A,S10-10, S10-10A
SDC3 .625 .750 Int Adj 10-10, 10-10A, 10-10E
SDC4 .625 .750 Int Adj 10-10
SDC7 .625 .750 Int Adj Mac 15 (no Fuel Pump)
SDC16 .625 .750 Ext Adj S10-10, S10-10A, S10-10E
SDC18 .750 .812 Ext Adj CP55, CP70, CP70L, 7-10A, S2-10A, S6-10A
SDC19 . .750 .812 Int Adj 795L, S797
SDC20 .750 .812 Int Adj CP125
SDC22 .750 .812 Ext Adj S2-10, 7-10A
SDC37 .750 .812 Int Adj 10-10, 10-10A
SDC38 . .750 .812 Ext Adj SP80
SDC38A .750 .812 Ext Adj SP55, 60, 70, 80, 81, 81E, PM570, PM850
SDC43 .750 .812 Int Fixed MC49E
SDC44 . .750 .812 Ext Adj 7-10A, PM60
SDC49 .750 .812 Int Fixed PM55, PM60, PM555, PM700, PM700, PM10-10S
SDC50 . .750 .812 Int Fixed SP60
SDC51 .750 .812 Ext Fixed SP81
SDC65 .750 .812 Int Adj PM10-10, Pro 10-10A
Zama C2 .750 .812 Ext Adj PM850, 800, 805
Mark