Hi there and welcome! My boyfriend is wanting to go MK as well. Not sure if you know about the process but after communicating with a recruiter and passing all the health and physical examinations, being sworn in, and then receiving your ship date you will go to boot camp for 8 weeks in Cape May, New Jersey. While in BC you will get to write down some preferable stations you desire to be at, and then you will find out where you will be stationed near the final weeks of boot camp (hopefully somewhere close to where you wrote down). After this you will report to your station. If you are married your wife will be able to live nearby (I believe in government housing). After getting your qualifications at the station you can put your name on an A School list. This process of being accepted into A School could take a matter of a couple months, or a couple years. As far as MK goes, I've heard it doesn't take as long to being accepted to the A School. So let's say you get all your quals done on time and put your name on the A School list. You're probably looking at being at your first station for about 1.5 years. MK A School is in Virginia and I believe it is 3 months long. This is unlike BC and is more like school (having classes during the week and in the morning/afternoon). Once you get towards the end of A School you will receive an assignment to a different station (I've heard that your class rank affects the ability to picking a station of your choice; so if you have the best grades, you will get first picks on a list of stations looking for an MK3). Then your family would move to your new station.
To build upon you not having recruiters in your area, make phone calls and get your name to stand out. If you can make a visit, do so. You want this process to go as fast as possible! Check the A School category on the forum too and find MK. There is where you can find more information on MK A School. Good luck!
Also, if any other people on the forum wish to correct me please do so. I myself am not in the military and have learned much by reading on this forum and by talking with my boyfriend. Thanks!