I've looked for one for a long time and can't seem to find one as most of the antibodies that are commercially available seem to crosslink LFA-1 and thereby activate it. You could maybe try to make Fab fragments (which shouldn't crosslink) and conjugate those with your fluorochrome of choice.
I've never done this exact experiment, but in the past I've made Fabs from M17/4 which is a rat anti-mouse. Keep in mind that you'll lose about half of your total input antibody during the isolation and purification steps. You can buy the antibody in bulk from the UCSF antibody core.