Accreditation standards require monthly education provided to staff in our field. Will including IC in these trainings potentially demonstrate misclassification?

Generally speaking, only employees should be trained, but if there are governmental or other agencies that require it, noting those requirements in the contract is best. If possible, do not have the ICs attend sessions sitting side by side with your employees. In fact, in-person training sessions should be avoided is possible. If it can be peformed solo or online, that is best.