Theoretically attending school A and then doing clinicals near location of school B makes sense. This is easier said than done when you settle into a place to live for 2 years during didactics and you have a spouse that has a full time job, etc. Traveling for clinicals can be a major, major pain especially if you aren't flying solo. And there is no guarantee of obtaining multiple clinicals in the location you want to live either.
Nevertheless, while a great many new grads to get their first job at one of the places they did a rotation, plenty don't as well. Plenty just start applying or start networking just like the rest of the population. Basically, doing rotations where you are going to live will make getting a first job easier (potentially) but doing the opposite will not make getting a job extremely hard, and will certainly not prevent you from ever obtaining your "dream job". It is the very rare new grad that starts their career in their dream job from the get-go. And by the time you're on your 2nd, 3rd, 4th job (more likely "dream job" territory) where you did your clinicials is much less likely to matter.
If school A is a lot cheaper (like >$10,000 difference let's say, remember to factor in a careful analysis of cost of living differences between the new location, and potential costs associated with relocating), I'd probably choose school A. If the price is close, I'd lean toward school B. This is assuming you do not currently live in the location of school A or B and will be moving regardless. If you already live by school B that would make the choice even more tempting, though if the price difference is large you will likely be glad to have chosen the cheaper school in the long run. But this is a complicated question that really we can't answer for you. These are just a few of the things I'd be considering if I was debating this situation myself, but at the end of the day the advice of some random people on the internet should mean very little to you as you are an adult and have to make this decision for yourself based on a large number of variables.
Sorry for the non-answer. 🙂 But to answer your primary question more succinctly: my observation has been that many new grads start their career somewhere they did a rotation, but just as many do not. You will be able to become gainfully employed one way or another after school regardless, but the process and amount of effort may vary.