Holy crap a guy from the Indy area! I have to drive that fracking stretch of highway every week.
I would stick with your original idea honestly. In my experience 82nd street is far worse than 96th during rush hour (or any time of the day, really) thanks to the fact that the mall is on it to the west. So go with the nice right-turn filled route one your way to work, then on the way back use the south side bridge to get over the highway.
However, I don't know if you should go against traffic on Hague on the way home. It's generally more dangerous if anything were to go wrong thanks to the greater difference in velocity between you and the oncoming cars. Instead, just go with traffic until you reach Shane Co's entrance, and cross the street there during a lull in cars to get to the adjacent parking lot and the sidewalk across the highway. You may have to weave between cars stuck at the light, though.
You'll have to be careful crossing the south-bound highway entrance after you cross the bridge (should probably do that bit on foot), but after that it should be smooth sailing.
The route galaxie suggested may be safer, but it's so far out of the way that it would be harder to stick with I think. Especially on cruddy days.