This^^^^
Any time you keep the "salvage" the title remains in your name unencumbered. The ins co has no DMV or MVD authority. They're settling a debt. The only way it becomes salvage is you hand it over. Is NM different? I wouldn't think so. You may be hollerin before you're hurt. That's not meant as an insult. On the other hand, many collector level cars are never "totaled" by the insurance co.s that specialize in it. Here in MI I kept a totaled car. I got the settlement plus the car, sold the wrecked car, with a clear title, ended up with $1900 more than the totaled car value due the value of the parts. A "totally" legal opportunity...
NM appears to be very strick with ins companies and totaling cars, the state requires a form to be filled out and a copy of the title with a salvage stamp submitted with the form. I am not sure what the state would do to the ins company if not submitted, but the one I am dealing with made it clear they follow the states laws and will not send me my check till they have stamped my title salvage. Basicly what happens is:
I mail my title to ins company
They stamp my title SALVAGE per state req
They copy title and send original back to me (car hasn't left my ownership) with payout check
They submit a copy of stamped title and MVD-11103 Salvage Vehicle or Vessel Notification to state.
State flags VIN as Salvage in their database
I get my original title back with Salvage stamped on it and the ins payment.
The more I dig into this it appears that a "Salvage" title is fine to own/drive/register the car with. There is another designation of "NonRepairable" that forces sale of car to a liscensed dismantler. That form is filled out by vehicle owner (me, not the ins), and appears to be completely optional. Not sure why you would ever fill the form out unless you were an ins company and the owner didn't retain car for salvage value. This designation would ensure that the car you totaled wouldn't make it back to the road......
In looking at the reconstructed designation I can use my salvage title and frame, then "repair" the vehicle showing purchase of major parts used and do a basic safety equipment inispection to recieve a title with my original year/make/model/vin and a secondary id number (state issued). This title wouldn't say salvage, but reconstructed instead.... Looking into what exactly that means.
I have some other things to look into to make sure I understand exactly how the heck this works in NM.....