Ok, sounds great!!! That'll work out well.
As for what to look for, it's really up to what you and your daughter like. Morphs have no affect on temperament or anything like that, it's just a paint job.
If you're looking to keep the snake on the smaller side go with a male, they stay a good bit smaller than females.
There are a few morphs that some people avoid, the most common being spider. I've heard things all over the spectrum as far as how bad the wobble can be, but I don't have a spider so I can't really share my experience.
A lot of the others are "supers" or "x" paired with "y" but morphs aren't my thing, so I dont want to steer you wrong with any misinformation. There are threads on here somewhere that cover them, plus I'm sure a Google search will help too.
Other than that, just the general health stuff. You've already addressed the food issue, just make sure that the snake is eating reliably and has kept all meals down.
There are sooooo many amazing looking BPs out there, but a $10,000 snake and a $50 snake will both have BP personalities and temperaments.
Personally, I'm a sucker for "normal" or "wild type" animals, they're amazing just the way they are. But there's definitely something for everyone out there.