Just maintain your residency status in your home state until you have been in Mi for 6 months, then get a Mi DL and apply for you rCCW, You can take the training and classes while you are waiting for the time to elapse, there is still the 45 days it can take for your permit to be verified but that is better than 6 months.
I'm not a lawyer but as long as you have your states DL but live here.... I believe you are not required to get a MI DL until you have actually declared you are a MI resident and there is a 6 month grace period until you must declare that you are one. Kids come here to go to college for 9 months of the year and do not declare residency and hold jobs while they are here... and do not declare residency unless they decide to stay...