Bill wrote:

I listen to internet radio quite a bit on computers, and usually find
stations via IP addresses or resolving the name. On an Android phone,
there are offerings, but many seem to be offered via combining services
with added adverts and lesser quality.

Have you tried "UK radio Player" android app? It doesn't seem to give
adverts, thought it's one of those apps I don't allow to upgrade itself
in case it starts getting daft ideas like adverts ...