Well you can think about the auto-profit if you're concerned about exploitation, but IMO don't worry about that. Think of the odds you get when min-raised: 3.5:1! You need only 22% equity to b/e if we're only talking pot odds. Now, we can take a few % extra because of rake, and few % extra because we're out of position (harder to realise our equity). So let's arbitrarily say around 27-30% equity.
Against a 50% opening range you're going to have this equity with any two cards. So you need to be calling fairly wide here (ldo). How do you decide how wide? Well, it depends how competent you are post-flop. If you had an edge against most regs at the limit, I don't think it would be a mistake to defend nearly 100% in this particular spot. Remember HU players easily defend >75% of the time in BB and don't even have such great odds.