Yeah, I logged into Rocky Mountain ATV and searched based just on tire sizes that would fit the KLR and came up with street models in several brands.
Seriously though, what a good point Tom has about the cost and use. There's a 70/30 Shinko 705 rear for $62 there on RMATV. Honestly, just a personal opinion, but I've never really considered anything south of a 50/50 a dual sport tire; just a kool looking road tread pattern.
I think the biggest issue with the more aggressive side of dual sport tires on the road is stopping. Next is they can be sketcy on wet roads (say nothing of stopping on wet roads). Then the most aggressive are noisy (my D606s scream) and they wear faster. It's just a tire by tire consideration between 50/50 and 10/90 Dot Knobby.
From my real life experience, I'd buy a cheapo set of Shinko E804-805 ($72 and $87, with free ship at RMATV) cuz I know them fairly well. Good stopping, tore through the Tail of the Dragon on them many times. If wear life was more important (and money wasn't) I'd go with 50/50 K60 Scouts. Several years ago, a set of street tires barely got me to Whitehorse, Yukon from Tampa (4,000 miles), (adv, but not KLR). Had a set of Heidenau's installed at Yukon Yamaha and finished the trip...another 8,500 miles...with a third of the tread left.
Anyway, not trying to change or influence the op's mind here; just thought Tom had a good point there.