You're seeing a Mk.3 Mod.2 "FC" fire control radar antenna above the spotting top. This is the traditional position for this radar on the "old" battleships: after drawing as many as both of you have, not sure how you keep missing this...
The square radar above the FC on the photo David linked is an SC air search set. BB1987 drew one for his early Montanas that you can use.
I can't spot an SG radar on any of the photos, and the version you have drawn is early (or so it seems). Please add a month to the "date" if you can, it would be much more helpful than a blanket year - these ships went through so many revisions that it's best to use months rather than years.
The NavWeaps page is likely just wrong, because SRa is a variant of SR - a destroyer air search set that wasn't issued until 1944. There's also no photographic evidence at all to support the theory of SRa being in use during the 1942 timeframe. After the Tennessee's Puget Sound rebuild in May of 1943, it looks to me like the ship receives a
much more modern radar and director fit. Note the Mk.34 directors (with early Mk.8 FH radars above), square-back Mk.37 directors with Mk.4 radars for the 5"/38 battery, SG on the foremast, and SC-2 (seemingly without its attendant IFF array above) on the mainmast. Even in this photo, no evidence at all to suggest the presence of any version of SR. The actual SR radar only went to sea aboard the later Sumner/Gearing DDs and was retroactively fitted to some of the fast battleships (I know for a fact BB-55 received it in 1945 as a backup air search set). The preference by then was to have two SG radars for surface search, with a large SK-2 air search radar backed up by an SP or SM height finder (for fighter control, and also for helping with AA gunlaying) or an SC-2 or SR air search set.
Both the Mk 3 and the SR is short, wide and 90 degree V shaped. But the other one behind that is definetely squared.
As always, your highly technical input inspires nothing but confidence...
The Mk.3 Mod.2 "FC" is a 12' x 3' oblong parabolic reflector. The SR is a 15' x 4' mattress with an array of dipoles, distinguishable by its lack of separate IFF antenna above and rounded corners. When I get home I will just start to scan some of the USN search radar pages from Friedman's Naval Radar and post it here .