There isn't going to be, because it's really hard and expensive to do that. I don't see how any startup could even begin to compete with their own search engine.
The barrier to entry is extremely high: Bing probably would not have survived long enough to be profitable if it had been a startup. Microsoft put a lot of money into building it.
Subscriptions and micropayments would not be a solution for DDG because too few people would be willing to pay. Ad revenue is the only model that has sustained search engines in the long term.