In a lot of stability articles I've read, and from a seminar by Dr. Joe Yura at Texas, I know that if you prohibit beam rotation, that is actually more effective in bracing the beam against LTB than by simply laterally bracing the compression flange.
The connection between the intersecting beams and the girder may or may not help in resisting rotation of the supporting girder. One method of achieving this is to extend the connection through to the bottom flange such that any rotation would be effectively resisted by the connection. Now this would also probably require pretensioned bolts in the connection but even with pure bearing connections, the small slip might be allowed and still offer enough stiffness and strength to resist LTB.