I can totally understand the frustration. It's a concern for me, too. I'm working up the budget for a new bike, but at 240 lbs., I really don't have too much confidence in stock wheel sets that would come on a bike in my limited budget. Even though you don't want to spend more, I think you can do it for less. One of many options for you include the Soul 2.0 MAX. Weight limit is 265 lbs. and they're $530 shipped to the states.
Soul 2.0Max
And, from what I hear, they ride REALLY nice and would trim some weight off your bike.
I'm sure Williams and PSIMET would have options for you, too.
Good luck with it.