I have actually had this issue, because my Holland Lop bunny passed away last winter. I was heartbroken but I knew that eventually I would want a rabbit back in my life. I have a baby Mini Lop now, after months of searching and deciding.
I would reccomend getting an older family. As I have learned, baby rabbits are a LOT of work!! Also, I am not suggesting that your daughter is violent in any way, but maybe an adult rabbit would be a better fit for a young child? Baby rabbits, as I have learned, chew anything and everything! They require a lot of watching and care.
I am just wondering, has your Holland Lop bun already passed away? Or is she going to soon? If you adopt a new bun before she passes, there will be an issue of bonding as well to consider.
I found my bunny online, on Craigslist. Ironically, that’s the place that I found my late Holland Lop bunny. There are lots of buns that need homes on that site, and even better, if a rabbit adoption center is around your area, you might want to visit with your daughter and talk to the people as well as see the buns. It’s a great experience!