Of course the dealers are going to tell you to replace the tractor - they have an interest in selling new(er) machines. The fact that ALL the dealers are saying this tells me that none of them have an interest in getting to the bottom of the problem.
You need to find someone with the patience to look at the history of the thing, along with maybe doing an autopsy on the failed solenoids to see what's really causing the problem. I know that's easy for me to say from where I sit, but at this time, it's the only thing I can suggest. If you lived close by, I'd be more than happy to look at it for you as I love to troubleshoot that kind of stuff.
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