Honestly it sounds like you would NOT like the SV650. It's a naked bike which is basically a sport bike without the fairings. Think barebones crotch rocket.
Anyway you want a CRUISER. You'll definitely want something 500cc or greater especially if you ever plan on going onto the highway. You might want to look at a 600cc or 650cc Honda Shadow. Yamaha VStar is another great bike.
Several things to keep in mind though:
1) Larger bikes statistically get into much fewer accidents; this is mostly because they are more noticeable other drivers. The biggest reason motorcycles get into more accidents than cars is simply because car drivers don't see motorcycles. They physically see them but don't recognize their presence; it has to do with the fact that most drivers are not expecting to see motorcycles and so their brain passively dismisses the motorcycle's presence as irrelevent.
2) If you weigh even CLOSE to 200, even a 650cc engine is going to get a little shaky past 70mph in a cruiser. Good news about cruisers though is you don't have to worry so much about starting from a stop or starting on hills because they are designed for low-end torque (which is why they don't get great top speeds).
3) Buy in the WINTER. Bike prices go up and down drastically with the seasons. Summer is bike season and so you'll end up paying bluebook value or more on a bike if you buy it in the summer. In the winter prices drop profoundly. i.e. you can usually get a $5000 for $1500 without too much problem.
4) Pay with cash. As I said before, bluebook means nothing especially in the winter. A lot of sellers are willing to knock off at least a few hundred if not a thousand from their price if you pay with cahs right then and there.
5) Buy a used bike. In general bike owners tend to take much better care of their vehicles than car owners do. Many older bikes still run in near perfect condition due to having been well taken care of.
6) When you grow out of your first bike, sell it in the summer. If you bought it in the winter and sell in the summer, not only will you likely AT LEAST break even (even after having put a ton of miles on it) you may even be able to MAKE money from the sale. Yes the price differences between seasons is that profound.
7) Don't skimp on safety gear. I'd personally recommend a fullface or modular helmet. Blood Buckets (half helmet) do nothing in a collision. 3/4 helmets won't protect your face from much of anything. Get a leather jacket and leather chaps or pants. Nothing protects like leather. Denim on the otherhand lasts approximately 6 seconds when sliding on pavement. Wearing leather can mean the difference between minor scrapes and burns to requiring massive skin grafts. You might even want to look into getting something with underarmor plates at the joints.
8) When you buy a helmet, don't buy used unless you can be assured it was never in an impact. Modern helmets are built for a single collision. Buying a used helmet with na unknown history is gambling with your life. Yes, helmets cost $100 and up, but its worth it.
