There aren't any base awards that are based on "the time the ball went into dead ball territory". Base awards are determined from either the base held at the time of the pitch, or the runner's position at the time of a throw.
Bretman - not that it is applicable in my example b/c the fielder did not have possession of the ball, but to your comment above, how do we interpret Rule 8.G Exception 1 - When a fielder loses possession of the ball, and the ball leaves live ball territory or becomes blocked. EFFECT: Each runner is awarded one base from the last base touched at the tie the ball entered the dead ball area or became blocked?
Addressed to Bret, but let me respond.
In order to "lose possession" one must have previously possessed. The OP never indicated that the fielder had possession, but that it deflected off the glove.