I am aware of stigmas against bouncers in the very old generation and in certain localities. Do not emphasize this job if you apply in IL, NJ, or NY as there are connotations that you would have to explain if you come from a certain background. The lunk is not actually the problem in those cases. As far as most other places, I would also suggest you have a "customer service" story about being a bouncer and keeping boundaries intact (in terms of use of force etc).
If you apply in the National Capital Region or around, you ought to have had your SO card for your work and it'll be checked when the criminal background investigation is done by the school. If you did not have an SO card, you will probably have to explain why you were unlicensed.