I wouldn't be worrying at all about "sores from shedding" or "insect bites" for whenever you do get a bearded dragon, as neither should ever occur in the first place. A bearded dragon will not get "sores from shedding" as long as you don't try to pull off the shedding skin for them, you cannot ever do that, they don't need your help and you have to resist the urge to pull off the dead skin. So that isn't an issue that you should experience at all.
Just the same, your bearded dragon should never, ever, ever be subject to "insect bites", if they do have insect bites then it's because you're leaving live crickets inside their tank that they didn't eat right away during one of their 2-3 daily "live insect feeding sessions", and since crickets are really the only live feeder insects appropriate to be feeding your Bearded Dragon that will bite your dragon, if you decide to use crickets as your live staple feeder insect, you must only feed them 1-2 at a time, let him eat them, then give another 1-2, let him eat them, etc. And if there is even 1 single live cricket left in your dragon's tank after he's done eating, you absolutely must get it out. If you do use live crickets as your dragon's live staple feeder insect, you must check his entire tank after every single feeding session, underneath any carpet/paper towels/newpaper, under every piece of decor and basking platforms, etc. so that you ensure that there are not ANY live crickets left inside his tank at any time, because if even 1 live cricket is left inside your dragon's tank at night, they tend to bite them while they are sleeping, and have been known to often bite at their eyeballs, mouths, ears, etc. And yes, their bites do often become infected, another reason you must not ever let even 1 live cricket inside your dragon's tank. You cannot just "dump in" a bunch of live crickets for him to eat and then walk away, you must feed him only 1-2 at a time at most, and remove any and all live crickets he doesn't eat at once.
******JUST AS AN FYI TO YOU, NOT ONLY FOR YOUR FUTURE BEARDED DRAGON BUT ALSO FOR YOURSELF: No, you cannot and should not use "Monistat" or any other Anti-Fungal medication for a wound, a cut, a bite, etc. because NO, ANTI-FUNGAL MEDS DO NOTHING TO HELP TO KEEP AN INFECTION FROM DEVELOPING, NOR WILL AN ANTI-FUNGAL CREAM HELP TO TREAT AN ALREADY INFECTED WOUND/BITE/CUT/LACERATION.******
***Only an Antibiotic medication/cream will help with an infected wound/bite/cut, such as Neosporin or the generic equivalent, which is usually called a "Triple Antibiotic" cream/ointment. Yes, Monistat and other over-the-counter Anti-Fungal creams are "safe" to use on a Bearded Dragon, but only useful and safe if you're treating a Fungal Infection that they have, no an infected insect bite, that would be a "Bacterial Infection", and would require the Antibiotic cream/ointment, like the Neosporin.
Just another FYI, very important to know an understand, if you apply an Anti-Fungal medication to a wound/cut/insect bite that is infected by a bacteria, the Anti-Fungal medication/cream can and usually will MAKE THE BACTERIAL INFECTION MUCH, MUCH WORSE!!! I'm not going to go into the physiological explanation as to why this happens, but just know that NO, TO DIRECTLY ANSWER YOUR QUESTION, WHETHER YOU'RE TALKING ABOUT YOUR BEARDED DRAGON, YOUR DOG, YOUR CAT, OR YOURSELF, you should not ever apply an Anti-Fungal medication/cream to a wound/cut/bite that infected, because it will do nothing to make it better at all, and will likely make it worse. Only apply an Antibiotic medication/cream/ointment to infected wounds/bite/cuts.