Not sure if the original OP is still around, but in this situation I'd try a "paylake" style setup, with a pack bait of maybe panko & cream corn juice plus a pack of jello powder and grape soda. Add soda until it becomes sticky and clumpy but not too watery. This is what works for me in pretty much every water I've fished, although you're leaving out the actual corn. It should make a really sticky, stiff moldable paste that will pack around a no-roll sinker or method feeder. Then, either hair rig or side hook a cereal puff like kix, corn pops, or similiar. The "carolina" style is to really bury the hookbait in a massive ball but in my experience, pop up style works too. In lakes and rivers where I fish, if carp are even remotely in the area, and are in any sort of feeding mode, this will draw them in if you're patient. This has worked for me when carp wouldn't touch a hook bait on top of a pile of corn. You need to make a lot of bait and re-bait every 30 minutes or so, give a sharp tug when you reel in to make any remaining bait ball falls off, and after a couple of hours you'll have a nice baited spot that will hopefully get the carp feeding competitively.
Indeed I think wild carp in USA that are never pressured need to be trained to feed on boilies, which is what I'm working on at my local river.
Be patient and don't react to liners, the rod tips will be going crazy if the carp start feeding, wait until you get a solid run.