While I definitely think you should make your own decision regarding BGU, here is some advice since I have been there (I studied abroad last fall).
While BeerSheva, Israel is an up and coming community, it is not the most pleasant place to live. Everyone is extremely friendly, but it is in the middle of nowhere. The hospital has a pretty good reputation as far as hospitals in Israel, but it is much different than the US. I had a really hard time adjusting to life in the desert for six months, and I can't imagine having to live in that area for 4 years.
There are similar programs to BGU (though I dont think they have the international medicine emphasis) that are in Tel Aviv, and if you want to be in israel, I would definitely recommend that over BGU.
If you want specifics about the area, the school, the people who attend it and some of the med students I interacted with, feel free to email me or IM me.
Hope that was helpful