So something like this? Amazon.comAs I stated earlier, go with a different power plug and socket approach if you want the inverter to be portable and easily removed. I would consult with the inverter manufacturer on your options here. Higher power inverters typically use special connectors or old school binding posts to connect power to them, which is much more reliable than the cigarette socket and plug connections.
But why not permanently install the inverter in the CRV? In which case you can simply hard wire it in, but you will need to find a 12 power source that can handle the maximum load of the inverter. Just be sure you have the inverter on it's own fuse, and the fuse is sufficient in size for the inverter.
We have some folks in the forum that will be more familiar with where to get a 12v power tap to serve your inverter, who I am sure will respond once they see this thread discussion. Worst case, you power cable from the battery under the hood, and route that cabling to the rear of the cabin.
I could splice the wires off of the plug, and route them through the headliner. my only concern would be cooling if it was flush mounted. Any suggestions on that front? Looking at the fuses for the rear of the vehicle, there is nothing close to the amperage required by the above inverter. I have a few spare 30 A inline fuses, so would there be any problem with just running some 8 gauge through the firewall, up the a pillar, through the headliner and down the C pillar? Is there usually a ground bolt near the cigarette lighter? Or would I have to run a ground wire back to the battery? Thanks!