I would really like to ask her to do some family things but I know that I shouldn't.
Actually there's nothing wrong with that. Michele says in DR to phrase it in such a way that you show you don't care whether she joins or not though. For example- "I'm planning on having a party for D at McDonalds and then going back to the house for cake and opening of presents. You're welcome to join us if you wish." In other words, you're having the event whether she joins or not. You're not supposed to ask her out on dates, but inviting her along for something you will be doing with or without her is in keeping with proper DB'ing.
