I'm a little confused. You are taking six weeks to get married and go on your honeymoon. So you're leaving your apartment in SC and putting your things in storage in Ohio. Then you want to start a travel assignment. Then you plan on moving back to SC after your travel assignment. Is that correct?
If that's the case, how will you have a permanent residence in Ohio? I believe that, in order to receive a driver's license, you need to have a residential address. If you change your permanent address to a non-compact state, then you are required to notify the BON, your license will be changed to a single-state license, and you'll need to apply for licensure by endorsement in the new state where you wish to work.
You do have to maintain
residency in your declared primary state in order to keep your compact license. So I don't believe that you would be allowed to move out of SC, have a residence in Ohio and travel to another compact state to complete a travel assignment.
See this link for more information: https://www.ncsbn.org/2011_NLCA_fact...v_Jan_2011.pdf
I'd really advice you to contact your state BON for more specific information and to see what your options are.
There's no reason why you have to change your name immediately after getting married. You can change your name at any time after your marriage. Six months, a year, two years, etc. All you have to do is show your marriage license- the amount of time that lapses doesn't matter. So perhaps the best thing to do is just wait to change your name. Then you don't have to worry about getting a new license, social security card, etc. until you have settled into a new home.
I'm still not sure where that leaves you in terms of moving out of SC and putting all your stuff in storage in Ohio. It sounds like, since you're not maintaining residency in SC, your compact license would not be valid. You need to contact the BON and address this with them.