Please DO NOT under any circumstances put any ferromagnetic material inside the bore. First, you cannot shield your components from a field that strong with any reasonable amount of iron, so the effort is bound to failure. Second, you will create a serious safety hazard. Past accidents within that industry are, unfortunately, numerous and grisly. Third, presence of your shield and even of small amounts of magnetic material on your circuit will irreparably distort the image (even "non-magnetic" tooth fillings cause bad distortions in high field imagers).
You need instead to use non-magnetic and field-tolerant components. Carbon film resistors are good, metal film (or metal wound) bad. Many components have ferromagnetic leads or finishes (the lead carriers of many IC's contain kovar or other magnetically undesirable metals). You can and should special order chip caps and resistors without nickel flashing on their soldering surfaces. Some op amps work in fields, others don't (large bias currents and offset voltages are common symptoms).
Whatever you do, make sure you work with someone truly knowledgeable about MRI. I suggest you call the company that supplied your instrument and work with their engineers. Most manufacturers of these experimental high field systems will support their customers with advice. Matters of and diagnostic efficacy and human safety are no places for amateurs.