I love the run to We Jasper, Jude and I did it on Friday in the Jimny and went on to Tumut.
The back road from Cotter is great. It has about 7kn of good dirt, (Jude and I do it on the Mana regularly and I often take the Green Horror up that way.) but the road after the dirt is ideal for a V7 or a Mana, single and dual lane with views back to to Stromlo observatory and the Telstra Tower. At this time of year it's stunning. From Wee Jasper to Tumut? Well, I've ridden worse dirt on bikes like a V7 but I'd say it wouldn't be ideal.
Pete