I use Barricade as well and would even say I find it superior to Ballistol, as far as rust protection goes.
No worries using it. It doesn't take much and dries to a protective film, don't have to leave the rifle bore down for more than a couple days to keep it from migrating into the flame channel.
I will swab it out with alcohol before a range session, but often leave it when loading up for hunting. It does seem to require a few more cleaning patches if I've left it in the bore and then shot, but that's the only difference I've noticed. No loading troubles or accuracy changes with it left in the bore.