We dry camp for weeks at a time with two 12 volt batteries and solar I added myself (bought two, 100 watt Renogy panels from Amazon). Like upstech76 said above, the batteries will tend to equalize to the lowest charge of the three when you add a new one to the two older ones.
All that being said, if I didn't dry camp all the time (we seldom use hookups) I would go buy the battery and stick it in for this trip and see how it worked.
A lot of guys get real specific about batteries. I just go to Walmart or one of the discount clubs and buy from them because I am cheap and refuse to spend a fortune for something like a battery. Learning the tricks of living on 12v and battery management and discharge/charge is essential to long term boondocking and you can get all that on these forum archives.
Buy yourself a third 12v deep cycle, stick it in there and see how it works. Just make sure they are the same TYPE of batteries (deep cycle, lead acid, etc.). Don't mix types.
Or, best yet, like was said above buy three new ones that match and REALLY have great power for your trip.....and no concerns.
Enjoy the beach!!!
Paul
PSW
2013 Phoenix Cruiser 2350
2014 Jeep Cherokee behind it
and a 2007 Roadtrek 210P for touring