I am another one to suggest the Shock collar.
Make sure you get one with a "Continuous" setting. They usually with shock for a solid 8 seconds which is generally 6-7 seconds longer than you'll ever need.
I train retrievers for AKC Hunt Tests and also Beagles for gun dogs. Generally there is a LONG list of steps you take to "Collar Condition" a dog. Basically when you start using the collar they have no idea what it means. It is up to the trainer to teach this.
THE EXCEPTION TO THIS RULE: basically what you need.
When dogs run off game (or kill farm animals) the best way to break this is to make that animal a ""bad experience. Every beagle in the world that is any good at running rabbits has, at one point, been "Deer Broke".
We do this by doing the same thing your going to do. They see deer, we crank the collar way up, they chase and we let them have it. One time and most will actually shy away from even the deer track smell.
No, its not fun... and no its not pretty. They usually cry, barrel roll, and come sulking back to you at mach 5. But it works and it saves live ;)
One thing I really want to stress is for your daughter NOT buy a cheap pet-smart one. Brands to avoid are: Petsafe. Garmin Sport models. They will never have enough juice to get the job done.
Brands I would look at:
Tri-Tronics Pro 100, 200, 500 or Tri-Tronics Classic 70 or Field 90
Sport dog 1825 or even the 1225. AVOID the Sportdog 400, 425, 800 or 825.
Dogtra 300m or Dorgtra 1900
If you cannot afford a good one find a store that have a 60 day return policy on electronics and use it then return it.
I hate to suggest that but if you buy cheap you won't get the job done. Trust me. I use electronic collars every day. $$$ makes a HUGE difference.
"When you listen more than you speak you will always learn something. I know what I know! I need to listen so I will know what you know!"