Using the current iteration (for anything, and especially for sending it to the customer) is not a good idea, because it could be much worse than the current best solution.
Getting the current best solution is another question. I have no source here now, but I'll see how to get it in the right way, later. Meanwhile, there is an easy way to get notification as soon as the best solution is updated is by overriding the SolutionSelector to post any new accepted and better solutions to your application. It is somehow a hack, but easy to implement.