I have had a few "minis"
No, they are just like regular cigars, only smaller; you do not inhale.
I would go for any premium, hand-rolled brand, as opposed to some little machine made or "flavor dunked" cigar. The cheapie gas station cigars are frequently rolled in paper, not tobacco, and they just plain stink.
Padron is a quality brand that makes many sizes, some very small. Check out the "londres" vitola, or "panatelas" (I think). They will make for a quick 20-40 min smoke, depending on your pace. Tatuaje is another of my favorite, some available in a little vitola.
Rocky patel, vintage 1990's, 92's... are good. They do come in a short, little size.
Drew estate's Liga Privada just released a new short filler cigarillo, the "papas fritas," made with the trimmings of their esteemed Liga Privada No. 9. A little pricey for a short filler smoke, but I have heard they are good.
Remember, the skinnier the cigar, the slower you should puff. It's easy to overheat a thin cigar, and it will be hot and bitter. That is why even a little cigar can take 20 min. Pace is important.