Re: "only minor obstacle is creating a warp drive/whatever else with FTL capability"
The problem is that even at light-speed, it's 200 years away. And when you get there (if you get there), it'll likely be most dull and you won't be able to tell anyone who cares for another 200 years.
Not only does it need to be FTL, but significantly so... maybe twice as fast. And even then you're 200 years from finding out and telling anyone. In that 200 years, you'll almost certainly be overtaken by something that'll do a better job. Imagine that - 199 years in transit, generations cooped up on a ship, and then all of a suddenly "Whoosh," and Flash Lockhart appears... "WWWAaaaahhhaahhhey! What're you guys still doing here?! Jump on and I'll give you a lift! We colonised that planet last century... by now about 99% of them have my DNA in them.... WOOF!".
To say you'd be slightly irritated at the waste of time, effort and money involved would be understating it a little.
We not only need FTL, but FTL comms, and to know that in the time we get there, nobody's going to overtake us. Who's going invest in a dead-end that 20 years later will be overtaken by its competitor and become worthless? Maybe the first one, but after that?