Honestly sometimes just making a show of it not getting to you can get people like that to leave you be. Just start looking get dead in the eye and saying "thanks for the tip. I'll take it under advisement", every time she starts doing that to you. Every time. Same inflection. Even if you have to do it 20 times in a row. Even if she gets angry. Don't say anything else to her unless it's required to do your job.
Eventually she'll get annoyed or bored enough to leave you alone and try to bother someone else she can get a reaction out of.