Hi, Alice!
O-HI-O? T"O""O" bad there aren't very many "HI" places to train in Ohio. Sorry, I had to do that

I am a dayhiker so here goes...
Given you won't be doing much acclimatizing and factoring in the effects of altitude and your fitness level once you start from the Portal, and carrying 25-35 pounds (maybe more) of gear, and if you pace yourself, I would guess you can reach Trail Camp in 7-8 hours. Then from TC to the summit and back could take you 6 hours total (includes photo opportunities at the summit).
Ice? Well, if Mother Nature speaks, listen. If great weather prevails between now and your trip, and given the sun is lower in the horizon and the temps are cooler, you may experience ice at the cables on the switchers.
Others will definitely chime in to give their thoughts.
Welcome to the Sierra Nevada, and good luck to you and your party. We look forward to seeing the summit pictures!
Have fun.