Your 9.75 is a Sterling (Visteon) axle, not a Dana. It's a good piece, actually.
I don't think you will have trouble with a synthetic and I don't think the Truetrac will care too much about the viscosity (within the scope of "normal" for the axle and climate), but here's an FYI for you. There have been problems noted with certain synthetics in Trutracs, namely a screeching noise. We had a big discussion on this some time back if you'd care to search. On the aftermarket side, this problem has been cured by switching back to a conventional mineral oil. I have heard reports that Ford has noted the problem on the S-110 axle- equipped F-350 and 450 trucks that use the Truetrac. The bigger problem is that we can't pin down which synthetic oils have the problem. If Eaton knows, they are not telling. We had some reports from users that Amsoil did not cause problems in Truetracs, and it didn't for me either (in an '86 F-250 10.25 Sterling full-float), though I now use LE-607 (a mineral oil) in that truck. I have put RP 75W-140 in a Truetrac equipped Ford 8.8, also with no problems. I also saw Mobil 1 75W90 installed in a 9.75 and the owner reported no trouble. You'll like the Truetrac. It's seamless on dry roads and you'll find it docile on ice as well because it doesn't have that harsh breakaway that a preloaded plate type LS unit has. Wish they made one to fit my F-150s rear axle (10.25 semi-float).