Mr Ree
Not highly recommended as you put it......just recommended. That is because your CC will have spent weeks, and probably months, saying NO on your behalf until something has materialised that they believe is acceptable.
That only happens when the offer is considered acceptable and unlikely to be improved without escalation.
Alternatively, if an impasse is reached, your CC would propose a NO vote to give an appropriate mandate to go further.
Do you honestly really think that smaller bargaining groups at individual bases would have a cat's chance in hell of achieving anything? Surely not!