So sorry for your loss. Horses can be heartbreakers.
Best advice…be realistic in your goals. Don’t try and buy a horse for the future…get one good for shorter term goals. People often get way ahead of themselves.
First, have your daughter and trainer be open and honest with her skills. Is she brave or timid. Confidence or needs confidence. Strong on the flat or over fences. You shouldn’t buy a horse that matches your strengths and weaknesses…in other words, if a rider is more confident on the flat and more timid xc…you don’t by a dressage winner on the flat who needs a confident ride xc. You buy the xc machine who needs more help on the flat.
Also, be honest in the goals. Does she enjoy the process or competing. I don’t recommend buying a green horse for a rider who LOVES to just compete. If the goals are competing a lot…get something going that is in your budget. And since you said you can’t afford a going 1* horse…if her goals are really competing and moving up levels, you may want to look for a lease not a purchase as you may be able to find a more experienced school master type. If her goals are just to enjoy the process and eventually compete…then you can go for greener (but riding green horses is NOT for all riders…it takes braveness and patience). NOW spotting a talented prospect…that takes knowledge on the right type of horses. Yes, you want a good brain. And you want help from someone experienced at spotting a nice young prospect AND be in a good program to produce them…that honestly is a skill set that is quite lacking in the US.
It is also very important that a rider get along with a horse…especially a prospect. So you daughter needs to be very honest with herself about what sort of horse she is good at riding and enjoys riding (kick ride, finesse ride, sporty horse or big strong one etc.)
Good luck! She can learn from really any horse…and so that is the number one mind set that I always take with me when I’m going to buy. I’m not looking for my dream horse…I’m looking for a horse that I think I will have fun as we both learn from each other. I’m never disappointed…and have learned from them all…even the ones that didn’t turn out quite as I expected.