I raced them from 1967 to 1970, and I can say for sure....BODI HAS IT NAILED.
They were a blast, though. With the stock cam and no cam timing changes, I don't think the engine could self-destruct in neutral with the throttle held wide open. The engine was so stout that it could take a supercharger with no bottom end changes! To install one, all you have to do (
) is cut out part of the backbone and bolt the charger in its place (with a few custom mounting brackets), and use a Linkert carb from an old Sportster twin, but the mainjet must be drilled (I've forgotten how big) to feed enough fuel. And you have to make a wye tube to feed the two cylinders from the onecharger output port...
Tips: Advancing the cam one full sprocket tooth would still allow valve clearance to the pistons at 7800 RPM, had to flycut the pistons above that. The bottom end torque change was very welcome, though, with this mod.
Cutting one half of a turn off of those spark advancer springs that BODI is talking about can help, if the parts are worn so much that the timing is being difficult.
Dropping in a Rocky 327cc or 337cc kit with 10:1 pistons really wakes them up, too. The late 1967 and the (very few) 1968 heads had larger intake valves, almost 25% larger, and breathed much better, and the heads swap. My last "Racing Hawk" was one of the few 1968 models made before the 350 twin replaced them.
The CL77 (street/scrambler version of the same bike) came with a nice friction-type steering damper that could just bolt into the holes on the CB77 frame, a nice help on tight courses and bumpy streets. It also had 4 more teeth on the rear sprocket, if you're looking for gearing changes.
The 1968 350 twin's 5-speed tranny will fit, in a pinch, but is hard to find: it must be the ones that did not have the thrust washer spacer in between gears 2 and 3: the later ones had different shafts and would not fit. It also leaves the bike geared very low, cutting the top speed to about 80 MPH at redline in 5th gear. Nice and quick feel to them, though, with a "close ratio" racing feel to it.
The adjustable linkage for the gearshifter was a real nuisance after the holes and pins wore, making shifting difficult. Some riders subbed the 350 one-piece shifter (a little awkward), and for a while Rocky Cycle made bushings to remove the slack. If you want bushings on yours, drop me a PM and we can talk about it (I have a lathe): I'd cut a real deal just to walk down that memory lane again!