You should rent a car or minibus to take you wherever you have to go. You will have all the correct paperwork after ASQ. I also assume that you will have been vaccinated in your home country.
Your wife is another matter
Don't put her through all the hassle of getting to Bangkok and then the probable even bigger hassle of getting back to your home province.
I just arrived in BKK three days ago and the only flight that was of any interest whatsoever at the checkpoints ( and there was many of them ) was the one that entered Thailand. Remember to keep a paper copy of your boarding pass as my mobile copy caused a little confusion.