Agree that trying to use the solenoid to start the engine is not going to be easy if there is no chassis battery! First big problem to work around would be that the chassis battery needs at least some power to pull the solenoid. No power to wire LR gets you no solenoid operating and that leaves you nowhere good.
But if we really NEED to get the engine started, it would seem fine to just short the big cable from the coach batteries to the big cable on the other side of the solenoid. No difference in the cables sizes of both so if we can't get the solenoid to work, extending the coach cable to the chassis cable is what the solenoid normally does for us.
Very much the same as using a different car to get a boost except when using a second car we have to use both positive and ground cables to get the grounds combined.
What solenoid is best is often like other things and what we each consider worthwhile. There are often recommendations for using the Cole-Hersee 24213 but that model has the four lugs and would need a slight mod to use it on THIS Rv . Looking at what that model does with the fourth lug is not rocket science if we know a circuit has to have a full circuit (circle?) to operate.
The three lug verstion of this solenoid gets power on a small wire that Winnebago cals "LR". That power goes through the coil and gets to ground using the metal of the solenoid and the mounting to the frame as ground.
This is the diagram for the model 24213 which has four lugs, so a little bit of thought can let us use this one, too.
The power we get on lug two has to have a path to ground to operate. The RV which use this four lug version provide a seond small wire with ground to the second small lug. That completes the circuit and it works!
So if we really want to use a four lug instead of a three lug, we have to figure out how to provide a path to ground, even when we don't have that second small wire!
So how about just putting a small wire on that last little lug and running it to the mounting screw for ground?
Not the way I would prefer to work it as the four lug is often more expensive and I don't need to spend extra time and effort to run my own ground.
But if I have or can get a four wire solenoid but not the three lug version, I'm okay with doing what makes it work!