Carl,
What day(s) of the week will you be there? Yes, you can park an RV and it is done often. You will find, if it is a weekend night, that there may be several people there who have barbecues, etc...
Remember, even iof you don't get on the Black you should have a good tee time for the Red course which is also a very good play and a Tillingfhast to boot...