There are no SN records for the Model 94AE, since the Winchester records were turned over to BATF with the closing of the Winchester plant in New Haven, CT in 2006, and they aren't talkin'.
The 16", .44 Mag (aka:Trapper) Model 94AE was introduced in 1986, well before your SN - so the best you could do would be to narrow down the period: 94AE- no safety (1983-92), 94AE-CBS(1992-2003), 94AE-tang safety(2003-06).
.