Honestly, the easiest solution is to just install a USB thumb drive with the TeslaCam folder and use the integrated one. The jury is still out if the latest firmware fixes the corrupt drive issue. If so, it's quick and does the job as needed. You don't get fancy features like speed, GPS location or recording when away, but it sounds like you don't need those. If you already have a spare thumb drive laying around, then there's no harm in trying it out as it just takes a few minutes to setup.
However, if you want a dedicated unit, then the Blackvue is probably your best bet. It runs directly off 12v, so you just need to run the power wire to the dome light assembly. No need for a voltage regulator. Or if wiring scares you, then any camera will come with a 12v plug and you just have to run the wire all the way down to the center console and plug in there.