hey mate,
We have a few good places now.
In Broadbeach itself, the Loose Moose is a new place with quite a few craft beers on tap and in bottles.
Further South (literally 5 - 10min cab/uber) in Nobbys Beach we have Bine Dining and Bar - these guys do a 4 - 6pm happy hour with all tap beers $5 and $0.50c Chicken Wings. 8 taps with rotating craft beers.
Surfers Paradise has a couple of cool places - I recommend either House of Brews (30 odd craft taps!!) or for something different, Taps, which is a place that you can pour your own beers and play some board games (or ping pong). They also have 8 taps that change regularly. Another good one in Surfers is the Surfers Sandbar - lots of different craft beers on tap and often a few imported from America too.
If you're inclined to check out some breweries, we have Black Hops in Miami/Burleigh, Burleigh Brewing in.... and further South we have Balter.
Hope that helps.