We have a dog park that sounds exactly like that that. 2 sections, one for dogs under 30lbs.( I think) and a bigger section for over 30lbs. Ahi seems to always be the smallest one there. She is also very submissive so she keeps trying to roll over under everyother pup she sees. She will only run a little, pee, and try to say hello to the humans. I think she loves people better than other canines. Other than that, she will just sit between my feet.
I get nervous about the other germs out there too.