I would not recommend 'testing' the law in this nature. I imagine most likely the police would have probable cause to search given the pistol is a replica of a firearm which the open carry of is prohibited. Whether they would quickly and accurately be able to determine whether or not you were in violation of law is just going to depend on the particular officer you get, if one at all.
Never the less I'll be glad to look thru the penal code and let you know what I find about this. Disclaimer I am not a lawyer. Also if carrying while representing OCT I would discuss with your chapter admins