A2 does NOT rust that easily in my experience. A2 does not patina as fast as many of its competitors ( 01/1095/5160/8670). I’ve had many knives in A2 - excellent steel if the heat treatment is decent. Bark River should have A2 “mastered” at this point...
This.^^^
I'm not questioning your veracity but find myself wondering where (*geographically) you've "seen" it rust pretty easily.
One of my favorite camp "food prep" blades is an LT Wright Camp Muk in A2. I also have two Teddy IIs that I don't think I've ever had to put a single drop of oil on. Mind you, I don't use the Teddy IIs for food prep. However, on my Camp Muk, I just clean/dry it when I'm done.
A2 takes a nice patina (*probably my favorite) with usage, in my humble opinion. And, if any of the grey'ish/black'ish hues start to take an orange'ish turn, a short/simple polish with Brasso puts everything back in the zone. The nice thing with Brasso is that it isn't abrasive. So, you won't lose all the patina you've spent time building. It will only polish the very surface.
Obviously, A2 isn't stainless. However, it you're worried about the "oil on the blade/food prep" thing, just go down to your local CVS/Walgreens/whatever pharmacy and score yourself some "food grade" mineral oil. You'll find it in the laxative/antacid section. You won't even have to wipe that stuff off. You can go straight from the sheath to cutting food. (
*EDIT- Sorry, I just caught @ferider's post)