I don't believe in skimping on motorcycle tires. Those little contact patches are pretty important.
After three years in a shop with access to anything under the sun, I still haven't found anything I like better than Pilot Powers for a sporty streetbike. With the modest power and weight of your SV, you'll get good mileage out of them, especially for a 'full sport' tire. They're pretty darn good in the wet, and they stick like glue when they get a little warmth in them, but they don't need to be at high temps to have grip at all. I really like them.
My experience with Dunlops is mixed. They're utterly fantastic when they're fresh, but after wearing about 1/3 of their tread, they start to act erratically in a way that saps confidence. At 1/2, they're like ice on anything but perfectly dry pavement. Past that, they're all but worthless, despite looking like a perfectly serviceable tire.
I will not ride a motorcycle with retreads, unless it's to do a burnout in a parking lot. Beyond that, no berkeleying way.
I like Bridgestones and Contis, but I don't love 'em like the Pilot Powers.
For an all-around recipe, I used to recommend a sport tire in front and a sport-tour in back. Plenty of stick for street riding, and you get a little extra mileage out of the rear thanks to its slightly harder compound.