I stayed in Radovljica last year and have no regrets about picking it over Lake Bled. Like you, I had no car on my trip so got there via bus. To visit Lake Bled, I walked there (there are a couple of routes) through fields and villages and was a bit overwhelmed by the MANY people I found when I got there. It is as stunning as it looks in all the pictures but I was relieved to grab the bus back to Radol'ca at the end of my visit. I stayed at the Lectar (https://www.lectar.com/), which was very comfortable.
That said, if you're thinking of alternatives slightly further afield (like Kranjska Gora) and don't have your heart set on Lake Bled, I highly, highly recommend staying somewhere near Lake Bohinj. I spent 6 nights in Stara Fužina and it was the highlight of my 3 weeks in Slovenia. The hiking is fantastic, the lake is amazing for swimming, and it is all way calmer than Lake Bled.