In other questions, you were mentioning changing your US tax home state. This can be done for vehicles as well.
A popular choice (in Baja California) is to re-register the car in South Dakota.
South Dakota specifically allows non-residents to register cars there, without the vehicle ever having to be in South Dakota. You have to apply at the county level. Clay County is one county that is very expat friendly. A call to the county treasurer there will explain the process. It's usually cheaper than other states as well.
You'll need a US address (any state) that the plates can be mailed to, they can then be forwarded to you. You will also need to adjust your US insurance.
To get a matching driver's license you have to go to SD in person, but outside of Kansas a mismatch between the license and the plates shouldn't be much of an issue. In Kansas they would likely expect you to re-register the car locally.
On the mainland of Mexico, there are TIP stickers (import bonds) for tourist vehicles. Investigate how changing the plate would affect (or not) the refund of your bond when leaving the country. As that sticker doesn't apply in Baja, it's not an issue among the dozens of people I know with SD plates.
Other states are an option, such as rural counties in Texas. It should be part of a plan to have a matching address, drivers license, and car plates from a single county and state, to keep things simple.
Of course if your state or county allows renewals without the vehicle being present then it would be simplest just to get the new stickers or plates mailed to you from somebody at the registration address in Kansas.