holiday rate---Client doesn't want to pay holiday rate for a long stay?

Both you and I live in southern CA. Perhaps that's why my perspective differs from previous response.

If this is a first time client, I would not be inclined to discount the stay, mainly due to the lack of knowledge how the stay will go (smoothly or rough).

If this is a dog that you've gotten to know well during non-peak times, it depends on the following:

1. How busy is your calendar? Do you have lots of commitments and/or inquiries from other pets that would keep you busy during that time, at peak holiday rate? Do you have personal things you'd sacrifice doing in order to provide care during that time period?
2. How much work is the stay? Is this a stay that will keep you very busy, as some go smoother than others? For example, dog walks or house sittings at a pet's home, or even possibly boarding at your home for a dog that adjusts well being left alone for a few hours, enabling you to go about life as usual (without having accidents inside or separation anxiety meltdowns) is very different from a dog that experiences separation anxiety or needs to be relieve itself outside every 2 or so hours , which restrains you from normal life activities.
3. How often do you see this dog? Is this a client who you regularly provide services for, staying busy throughout the year, especially non-peak times? That makes a difference too.

Based on answers to those three questions above, determines if I apply a cost adjustment or edit rates. Sometimes the client is quoted a price below what they expected and sometimes it's higher.

ADD'N.: Your Holiday Boarding rate is very competitive for your area, especially since there's 2 humans at home caring for the pups, you only have 1 small pup, and limit yourself to only hosting 2 guest pups at a time.

Since it is a long stay, I would suggest you work with her to adjust the rates. Think of it from her perspective. Offer her a "discount" down to your normal rate for the non-holiday dates but only if she agrees to book/pay the same day that you adjust. I have come to learn that those with extended stays are generally less likely to cancel.

My first year with Rover I was so accommodating with clients and would sacrifice my own well being for their satisfaction. Now I am a bit more steadfast about my rate and especially holidays. I am giving up time with my family and friends so they can leave town with confidence that their dog is well taken care of. If they aren't willing or able to compensate for the holiday rate then they are welcome to not book. If they have already booked and later have an objection I will hold the time with me and tell them to explore other sitters so if they can't find something they aren't left without any care options. In my area, there is never any issue getting as many bookings as you can handle for any holiday big or small.

I find that in this business, and life, people treat you how you let them treat you so if your holidays are worth extra then I would stick to that.