I'm surprised that dropping them off is a no-no given everyone going to Uni in the UK seems to be
I drove/ brought all of mine to university as freshmen, and this is the norm.
The DD who was a 12 hour drive from home made her own way to and from campus by herself after that (flew, or Amtrak - 17 hours), and I picked her up after graduation (we flew home). The DD who went even further afield did the same (I flew with her to her first drop off).
The rest of them went to university closer to home and got dropped off as freshmen, then picked up at the end of the year. In between, they used a private regional bus service and I dropped them to the pick up point. I occasionally picked them up or dropped them off as they were 2.5 hours away, 5 hour round trip (for Thanksgiving, Christmas).
There are usually campus or off-campus storage options for all the stuff they bring with them or accumulate over the year away so they don't need to bring every single thing or all their winter clothes home for the summer.
Universities are very organised in their dropping off arrangements. There is normally a time slot you need to observe, and traffic arrangements to adhere to.