I hope you're not expecting very much...
I have been here for 20 years, and have never seen Burns Night celebrated, apart from, as you say 'Societies', which you probably have to be a member of.
The normal/average person doesnt celebrate it... you might find a few pubs that will have haggis & neeps on their menu as a 'special' for the night, but it's really not a big deal here at all.
You might try Ayrshire, though... 'Burns Country' might do it differently!