What's your TV reception like, BB? If you can get Freeview (instead of using a cable service) all of the stations you want are available on your TV anyway. Channel numbers here:
http://www.stevelarkins.freeuk.com/Freeview_digital_radio.htm
Alternatively, if you installed a satellite dish and a Freesat set-top box, you'd get all of the channels listed here without paying a subscription:
https://www.freesat.co.uk/whats/full-channel-list/
(Click 'Radio', near to the top right of the page, to see the radio channels available via Freesat).
Also, what type of TV have you got? If it's a 'smart' TV it might have an app built into it to allow you to receive stations from around the world (including your favourite ones) via your router.
If your TV isn't 'smart' (or it is but it hasn't got a suitable app) you can buy a Now TV box for around £15 to make it 'smart'. Although Sky (who are the people behing Now TV) would love you to use their pay services with the box, it's not compulsory and the apps on the box (including the one that gives you access to thousands of stations from around the world) will still work without further payment.
As an aside, given the type of channels you like listening to, you might be interested in this website, where I listen to programmes like The Men From The Ministry, The Goon Show, Hancock's Half Hour, I'm Sorry I Haven't A Clue, I'm Sorry I'll Read That Again, Beyond Our Ken, Round The Horne, etc every day. (I'll be listening to The Navy Lark in just a few minutes from now):
http://rokradio.com/