Be aware there are "surge protectors" (aka, surge suppressors) and Electrical Management Systems. The former may very well protect against surges, spikes, and improperly wired campground outlets, but the EMS will also shut down the power if a critically low voltage (which can easily damage any AC-powered device containing a compressor) is detected. The EMS will come with a higher purchase price, but does more stuff.
I have been using the SSP-30XL surge suppressor without any problems to date, but I always check the campground power outlet with a very accurate voltmeter to verify proper voltage and connections. Consider also that last year, several of us were camped at a fairly large place and one of the other campers (using an EMS because he had already lost one air conditioner the previous year) said his power went off. I was not using my air conditioner at the time. I checked my line voltage and it was in the very low 100's (i.e., <105); his was at ~100, so his EMS did its job. From that night, I considered buying the EMS, and today, I installed one. This is a very effective and efficient device, and will easily be worth the money spent.