Are you referring to a total body CT scan?  If so, I looked and found a site which lists hospitals and medical centers which perform them.  Unfortunately, none are listed for Connecticut but there are centers in every state around you.  Anyway, I hope this helps.  The medical center performing the scan will customarily help you find a doctor to order the procedure--usually one on their medical staff.  

http://www.scandirectory.com/content/body_scan.asp

The same site lists the following information on full body scans; not all doctors or the FDA (see second to last paragraph) are convinced they are worthwhile in a healthy individual.  I think it's important to know what they can do/find and how much you can expect to pay so have included the following:

The body scan, performed in a matter of minutes, screens for the presence of heart disease, certain cancers, as well as other abnormalities. The purpose of a body scan is to identify abnormalities and diseases at an early stage. Studies have shown that early detection of certain diseases may substantially increase the chance of recovery. Therefore, it is important to know that the body scan is a tool, if used properly, which may ultimately increase your chances of recovery through early detection.

The body scan is a simple and painless procedure. An individual merely lies on the scanner table and within minutes multiple images are taken of the torso. Typically a radiologist will then interpret the scan results to determine if there are any visible abnormalities.

The body scan includes a heart scan and lung scan and following areas of the abdomen: kidneys, spine, liver, pancreas, gall bladder, thoracic aorta, abdominal aorta, adrenal glands, lymph nodes, spleen, and certain pelvic organs.

The body scan may detect early or advanced heart disease, aneurisms of the aorta, vascular disease, lung tumors, kidney tumors and liver tumors, calcified kidney stones, calcified gallstones, and certain abnormalities in the abdominal and pelvic region.

Please note that at this time the FDA knows of no data demonstrating that whole-body CT screening, or a full body scan, is effective in detecting any particular disease early enough for the disease to be managed, treated, or cured and advantageously spare a person at least some of the detriment associated with serious illness or premature death.

The cost of a body scan ranges from $600 - $3000.