No delay
I'm not talking about delaying this process, I'm talking about the delay you will undergo before you submit the next RIR LC.
Your currrent process is under the control of MO SESA, so you have no choice but to follow their rules, as you say.
I would think though that it is almost certain that your LC will fail (ie. a qualified candidate will be found). It would seem impossible that 35 candidates could be shown to be un-qualified for your job. But that will be the task of your company over the next month, and the burden of proof will be on your firm to prove that they are not qualified.
One possibility is that none of the qualified candidates would be available to begin, which is a viable reason for removing their candidacy.
I don't think you are in a very good situation, though.
So, the waiting period I was talking about was for submission of another brand new RIR LC. Obviously you can't turn arround 2 weeks after this one fails and submit another one to MO SESA.
Tip: If your company operates in many states, see if they would be willing to submit an LC in a state where the LC would have a better chance of succeeding.