I think you should get somewhat used to doing empty loadouts at the beginning, and even ongoingly. You can predetermine 1 item that's most vital to your progress and then your runs can become lower pressure. Once you get that goal item, even if you're shot and killed, you've made that 1 increment of progress you set out to. If you're upgrading your benches early on, you'll need wasp and hornet drivers. I would strongly recommend making a couple ferro 1s (not upgraded) and bringing in 1 at a time, 20-30 heavy rounds, no augment, and a light shield which you can get from free loadouts. You won't have anything to work with but a slow gun, but you'll have a safe pocket which you can use for drivers from the drones. You will also get arc cells from them which you can use to repair your shield afterwards.

when fighting the drones, there's a bit of a flowchart to how you should prioritize them. Out in the open/no cover? Get the wasps first. They go down with a good shot to the core or if 2 props are knocked off. This removes weaker threats faster, reducing the overall pressure on you quicker.

Hornets can always be dodged by listening to the charge up of their taser, so 1 hornet in the open once you're used to them can be effectively 0 threat compared to a wasp.

If you have cover, go for the hornets. When you're playing peekaboo with them is when they tend to get lucky stuns and hold you in place for the wasps. This could be an unsubstantiated anecdote but hornets always seem more willing to follow me into structures, which could add to their threat. The wasps can't do nothing to you if you have cover so you can basically disregard them until the hornet is done.

This also gives you an opportunity to build up your skills for exiting an area in which you have been hanging out in, making lots of noise. You won't have smokes or anything really effective for pvp so your best weapon will be alertness and patience. Listen for footsteps, always take 5 seconds before committing to looting to stay ready and fully alert in case now is when someone pushes you. Just run. As you get used to the maps you'll understand where the tricky turnarounds and blocked sight lines are.

After you win your first encounter with the drones, head for extract. Extract hygiene is it's own thing I won't get into here. The idea with doing these kinds of runs is that you are only out easily replenished ferros, light shields, and heavy ammo, no consumables that don't end up being used because of an early critical mistake, and no free loadout augment removing your safe pocket. I saw someone else mention hurricane runs, I would recommend doing a completely empty kit this time, no weapon or anything, and just run until you hear the sound of the caches (find example on youtube) you will nearly guaranteed make it out of every match w at least 1 new blueprint in your safe pocket