Nottingham is a lovely campground to position yourself for adventures east of the Cascade crest. Hikes accessible from Hwy 35, Rd 44, or Rd 17 are easy to get to. The Hood River, which borders the campground, is beautiful but swift, so don't plan on swimming there. The river noise is great for sleeping! Keep your eyes peeled for harlequin ducks, river otters, rabbits, sapsuckers, night hawks, or (of course) deer.
Our group stayed in sites 6, 7, and 8 this visit. 6 and 7 are a great adjacent pair for co-camping; 8 is more removed from its neighbor sites. As mentioned, bring your own drinking and washing water. The pit toilets are perfectly fine.
One thing about Nottingham is that the man who tends it is VERY into rules, including ones that aren't documented anywhere else. We've had issues with this before -- he claims that there's a maximum of two tents per campsite, though that's *nowhere* to be found on recreation.gov or the National Forest website, and there are clearly spaces for more tents than that in some sites (especially at campsite 6). If this is accurate, then the website should absolutely tell you before you go! Be prepared to get a lecture on some particular thing that this guy is feeling strongly about when you run into him.