I too am now a native of East Lancashire... and I too recommend that you don'ty go drinking in Burnley town centre!
Have a lot of mates who are Clarets fans and even they admit that they have a large percentage of nobheads who turn out for the big games.
I'm actually in the Burnley end this Saturday (too late for a ticket for the City end), and a mate of mine got me a couple.
Have sat in the Burnley end before. so I know to keep schtum, and so long as I wear my gloves, so they don't see I don't have six fingers I should get away with it! Try to remember to chuck rocks at the sun as well if you reallly want to integrate!
Best place for a drink might be Clitheroe, Rochdale, maybe Rawtenstall or some of the pubs just off the M65.