Just to clarify, your laptop connects to the Wi-Fi provided by the RV Parks AND you also have a wireless router of your own. You also want to print from your laptop to your wireless printer, I'm assuming via wireless.
This is what I would do based on the information you have given me:
I would connect a second wireless adapter to my laptop (a cheap $15 one from Newegg.com will do) which will connect to the wireless router that I own. I would then connect my printer to that same wireless router, thus allowing my laptop to always be able to print. No need for a modem anyhow. Now I would connect the wireless adapter build into my laptop to the RV Park Wi-Fi for internet access.
So to break it down you will have two wireless networks. One for your laptop to print to your printer, connected through the router you own. And the other for internet access connected through RV park's equipment. This way, you can configure your printer network once and leave it alone instead of configuring your printer for each RV network you visit. Plus, you won't have other RVers accessing your printer as long as you keep your printer network secure.
If your printer has Bluetooth or E-Print capability this would be MUCH easier. You might want to check to see if it does first.
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