I think the simpler solution is to just not use a needle. A 1ml syringe fits into nearly every bottle and keeping the tip immersed is pretty easy, except for Cap's bottles, but that's why I have my most used Cap flavorings in glass bottles which I can see into unlike the standard Cap bottle.
I don't use a needle for PG or VG either. Just a stopper in the bottle's top and that stopper has a hole that fits my larger syringes.
One less item to clean up too.
I've got a bunch of luer needles sitting around that I bought when I started, because of all the needle posts on here, that I just don't use anymore because I cannot see the point. (< punny) If anyone wants them, just swing by my place. You'll have to dull them because they have points and I haven't unsealed them to dull them.