Technically, you can't get more than one visa's or TIP every 12 months. In real life, I have never heard of anyone having an issue. We have done it.
There are ways of getting a legal extension on both your TIP and your visa. Do an online search, and depending upon where you are, there may be an Aduana nearby that can help you. Google is your friend!
Lukeville/Sonoyta is, in our opinion, the only place to come and go. We'd suggest going out at Lukeville and reentering at Nogales. Why? Sonoyta can be snotty about pets and things in your fridge and freezer coming in. At Nogales, they don't care. And, it's all the same computer system. You can always change names on the TIP too.
