You might play around with temperature during the binding of the aptamer as well as the time of incubation. Too warm and too long (4 hr, 37C) of a time might cause the aptamer to become internalized. Too cold and too short (15 min, 5C) will lead to little binding. I assume that you are binding to surface exposed proteins.
Another issue - do you anneal your aptamer after you retrieve it from the refrigerator before conducting your cell binding experiments?
I do cell SELEX and Isolated some Aptamer, after cloning I select one sequence from each family amplified them by PCR then I do ELONA and flow cytometry finally I select some of them and synthesize them by DNA synthesizer (I select sequence that have same result in flow cytometry and ELONA) but now I do not see any difference between library fluorescent intensity and selected sequence. incubation period and temperature is like ex experiment.
Is it possible that some non-specific binding affect the results of control? What buffer did you used for binding and flow? By the way, is the affinity of aptamer binding to cells low?