I found that when we were camping with toddlers, they were extra tired and that we only needed to be quiet for 5 minutes to let them drift off. After that, they were out cold and we could turn on the lights, cook, talk, go out to the fire, watch TV, shower, whatever.....they slept right through it.
I would just put her wherever you want her to sleep for the night, provided it's convenient for you. If she's sleeping on the dinette, put her to sleep on the dinette.
I will say that I recall my daughter's first ever camping trip. She was 18 months and went to sleep well, but woke up disoriented and very afraid and cried. We ended up getting a nightlight to leave on all the time and that helped her to remember where she was when she woke up in the middle of the night. After the first night, she wasn't as afraid, but she would often come into bed with us in the middle of the night.