Being an intermediate boater and having graduated to comfort with Class 3 only in the last 3 years, some words of advice. Strongly recommend you run Browns with someone that knows the lines really well (especially if you are going to have kids in the boat). With a big boat like that, I could see trouble in pinball or widowmaker if you don't know where you are going. Most everything else through Hecla, you should be fine with at intermediate flows in such a forgiving boat. Those two rapids are pretty technical.
Browns is a large step up from Stone Bridge to Rincon. You might try Pinnacle to Parkdale at 1700 or so. That is a slight step down from Browns and you don't have as much technical stuff there (although I don't recall the tightness between the rocks of 3 rocks at those flows). It's a very fun run and is roadside if there is trouble.