Anything that can reach 41.34 ly jump range can take you beyond Beagle Point to Oevasy SG-Y d0, Semotus Beacon, the farthest reachable star from Sol. If you wish to play it as safe as possible, you might want to shoot for a 42 ly full tank jump range. (So that you don't need to burn some fuel off to reach enough range.)
As for the Anaconda: I've always been of the opinion that the SC turn rate is fine for a ship of that size. Like in normal flight, you have to fly it like a huge ship, because well, it is huge. Personally, I like how it feels like you're captaining a large ship, not a small boat.
Of course, if you're coming from an Asp Explorer, it might be hard to adjust. After all, the Asp has considerably better SC turning than it should. This isn't exclusive to it though: for example, the Imperial Clipper does slightly better in supercruise than the Imperial Courier. As it stands, SC turning can be inconsistent between ships.
So, let me join the others who suggested that you try some ships out, see which one you like flying the most. (Cockpit, SC handling, internals and so on.) You'll be going on a long trip, and it'll feel much, much longer if you take a ship that you don't really like to be in.