You can find radiologists doing all kinds of things, but it is more difficult: for an internist doing basic science research, they can pay their own salary from grants. For a radiologist, the salaries often exceed the cap placed on total income allowable from grants, therefore you cannot pay for yourself from research. Since the clinical time generates more RVUs than the money you bring in from grants, many departments are reticent to give you the kind of protected research time it takes to run a successful basic science program.
All this means is that you have to get a job at a place that does research for research' sake, acknowledging that it is a money pit. Most of the top rated academic programs support such research. If you look at the faculty pages for Wash U, MGH, Michigan, Penn, Hopkins, Duke, etc. (and I assume the top West Coast programs, but I'm less familiar with those) you'll find plenty of radiology faculty doing basic research, ranging from animal studies to cellular work to develop molecular imaging targets to collaborations with cardiologists on mechanisms of atherosclerosis to imaging of metabolism in different tissues. Wisconsin and Yale also have diverse research facilities, and UNC is working on a big new imaging research center.
The bad news is you have to be very competitive to get to most of these places; the good news is that only about 10% of radiologists seek out academic careers, so there are jobs for you if you're good.