Oh silly me. I am forgetting, you can set whether Bookmarking is used on a file by file basis.
So the solution to try is to select all your radio recordings and change the [Use Bookmarking] field to "Yes", then from now on just Stop playback before hibernating your PC, then when you wake it, just start playback again, and it will start from where you left off.
I just tested using a 2:40 hour Audio track and that works fines.
Of course, it may not change the behaviour you are seeing, but it is certainly worth a try.
===========================
I was thinking this was an opportunity for improvement.
There are some other Media Sub Types that might benefit from using Bookmarks by default. Most are Video Media Types, but some could be Audio, such as Workouts, Book, Concert, Educational, Entertainment, and Sports.
Maybe MC should have a setting that allows a user to select which Media Sub Types will use Bookmarking by default, and apply the "Resume playback using bookmarks" setting that already exists. Jim?