I'd also like to request a "Computer Science has nothing to do with Entrepreneurship" option.
Look, programming is about solving problems and programmers are people who know enough tools to solve those problems. What a CS degree means is that person MIGHT have better tools (being educated in various algorithms and system types). That's all.
Entrepreneurship is about solving one specific problem namely: how to make a company successful. The tools you learn in Computer Science have nothing to do with that. More to the point, neither does what you're programming. A person with the greatest program in the world can fail with no business savvy and a person with a crap program can become a billionaire with enough business savvy.
As for fun, the reality is that all programming requires some fun and some tedious work. Even if you're living your dream programming exactly what you want to you'll still need to deal with tedious stuff like error checking and browser compatibility.
You could also say that computer science has nothing to do with almost all computing jobs since programming tends to be pretty routine in an algorithmic sense. Few people invent non-trivial algorithms.
When building an application, one does not think: will I be doing programming or computer science here?
Who knows what will happen? Maybe the implementation will turn out to be straightforward. Maybe not and some novel algorithm(s) might need to be developed.
Even for routine programming a CS major might be helpful. At least you might have a better understanding of sophisticated library usage (e.g., encryption).
Programming is interesting as long as the problem that you're trying to solve is interesting. Simple as that. Entrepreneurship just greatly increases the likelihood that this will happen.
There is a third option. Work for a company with interesting projects and good people (probably not your local government or a financial institution). Do some reputation building by contributing to OSS, blogging, and outside mentoring. All of these are a break from your day time routine. I've given help to a couple of startups recently, and I've seen more companies requiring or encouraging OSS participation of their employees.
If you like problem solving, programming will be fun whether you are an employee or a founder. Think of programming as doing puzzles. But if you are easily frustrated, you'll hate it whether you are an employee or a founder.