Yes you can use non-burton binding with it with the baseplate. I have size 11 boots and I ride one of those with no toe drag with a +15-15 stance.
Last years Custom most likely will have their channel system on it, which means that you can only use Burton EST bindings or Burton 3D bindings on it. One of the main reasons there are so many Burton haters on this forum. There are a couple ways you McGivor rig other bindings onto the ICS but it looks a super sketchy. So, can you use your non-Burton bindings on last year's custom? Not really.
As for the Blunt. If you are an novice shredder looking to advance, the Blunt isn't for you. It's more of a beginner board.
'12 Lib Tech T.rice / '12 Burton Cartels
'10 CustomX / '10 Co2 EST