It is a while ago but the trip down the river was fine. My daughter was going to the college on the old John Brown shipyard site and we could n't get there (Clydebank/Renfrew, but I could hardly complain as it is off the end of their runway!
Probably worth a phone call to see which days are quieter, which might make the whole river accessible. But I would expect westward down the river to Partick would be approved, the rest would be down to traffic.