Excellent suggestions, mlizzy! For the cubicle bound, like myself, I use the time driving to work to pray the rosary - for those undergoing surgery, for an increase in vocations, for my pastor and our soon to be pastor and the others in our eparchy who are being transferred right now - and that gets me to the office. During the day, I pray while walking the halls and during my lunchtime walk - for women planning an abortion that they will turn around and go home and save the lives of their children, for the victims of abortion, for the dying who are alone with no one to pray for them ... and the list goes on and on. Each week our parish features the name of a parish family and asks that we pray for them and their intentions. EVERY DAY, I offer up a decade of the rosary for the souls in purgatory and then there are my permanent lists - my family and friends (living and deceased), for those who have asked for my prayers and those unsolicited which I have added as well. BTW - I have asked my guardian angel to keep track of these names because the lists have grown so large that I can no longer remember all of them :-)
As for a specific time of day, I again go along with mlizzy. Our Lord asked through St. Faustina that the 3 o'clock hour be set aside to pray the Divine Mercy chaplet. Why not tack on the rosary at 3:30pm!
3:30 is a good time for me. Can you gather all the catholics here you know and see if they can also join in at that time too? Maybe start a new thread?