I generally prefer stainless because it's - stainless. Stainless steel rifles require less maintenance and are less likely to emerge from storage with a patina of rust somewhere or another where the oil did not stick, was dried out or rubbed off.
You also have an option of two "looks" as one can put camo "bow tape" on a stainless arm without worrying about water creeping under the tape and generating rust on a hunt. So if you just gotta have camo, it's quick work to apply bow tape, then remove it after the hunt.
When applying the bow tape, you can use it to tape a little plant material to the gun here and there to break up the outline, ghillie style.
Try that on a blued gun and water will get under the tape and rust the gun.
Polished stainless looks really good but is a scratch magnet. Frosted stainless looks very nice too and is more durable.
Brushed stainless is the most repairable, as a small scratch can quickly be eliminated by judicious application of a "Scotch-Brite" abrasive pad, being careful to make the new scratches go the right direction to match the rest of the gun.
The other stainless finishes are not so easy to repair, but start off looking better.
I used to look down on brushed-stainless finished guns, before I figured out how repairable they were. Now I prefer the brushed finish.
Somebody will always point out that "if you do XYZ, your blued gun will never rust".
Well nobody is perfect, and in my experience a stainless gun is a heck of a lot more forgiving if "XYZ" gets delayed, belayed or overlooked for some reason or another.
Having said all that, I will mention that a polished and blued gun looks awfully good. - Only the frosted stainless approaches that level of beauty.