Check out Careersearch.net and you will be pleased as to the ease in finding potential employers. Try to arrange a telephone networking meeting or personal meeting with the firm. Many have human resource departments which can answer your questions as well. They have a wealth of information for you. Good chance your advisor will forward your interest to many of their colleagues.
Good researchers are hard to find. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
The problem is that I had back problems which resulted in surgery but my employer thought I should work. Since I did not work, I was released. I had a doctor's note stating I should not work but the employer's doctor examined me four months earlier and said I should work. I later sued the employer under worker's compensation and was successful. So often those individuals who have been incapacitated because of health or injury workers are fearful that it will be harmful to them in the job market.