Apart from a visit to Mai thai bar (soi eric) and Love bar (tiger complex) plug..plug
I would suggest a visit to the Cocktails & Dreams bar also underneath Tiger disco (tiger complex) bear in mind its famous for ladyboys so if you think you can handle that i'm sure you will have some great drinks there if beer aint your thing , i dont drink much beer either as i hate having to piss the night away so i tend to stick to Whisky & coke or Vodka redbull with a few Tequila's in between
Here's a link for the cocktail bar i mentioned
http://www.kohjoy.com/cd/drinks/index2.html