First off, you didn't specify to what level this hypothetical patient is outside of norms. A HR of 30 is a different conversation than 50.
Assuming you're talking about a borderline case:
Rule #1: Don't poke the bear unless you have to.
If they are stable(no CP, normotensive, mentating, etc) then I wouldn't be intervening significantly. Establish access, monitor, 12ld, judicious administration of iv fluids and watch.
I might remove the appropriate medications from the drug box and have them easily at hand. I might have a set of therapy pads at hand also. What I'm certainly not going to do is start screwing with a patient who is dealing with whatever may be wrong with them well without intervention. That's how you get into trouble.
This is a call I'm not writing my chart during. I'm focused on my patient and any changes to their status. I'm ready to intervene at a moments notice; but I'm not throwing drugs at a patient just because the book says it's necessary.