GET A SANGEAN!!!!! We have a shower radio from them, excellent, I’d say get that one but we really haven’t used it since Hurricane Sandy and I can’t remember if it’s got a clock.
We also have a FABULOUS table top alarm clock from them. I love it because it has BOTH a digital clock and an analog clock, also 4 alarm settings, 2 music, 2 buzzers. It also has snooze and nap settings but we really don’t use those. Yes, the radio is digital, that is to say you don’t use a dial to tune it in.
I love both these radios very much and highly recommend this brand to you. I’m sure they will have a device that meets your needs.
Yes, I have a very good Sangean as well.