Types of hay that are OK for rabbits are: timothy, orchard, oat, botanical, and meadow. Admittedly, I am just listing the types that Oxbow sells, thus I am certain those are safe for rabbits!
Re: hay poke-ness…. Roughness is not a bad thing. The “poke” pieces, which are typically stems and stalks, are the most fibrous and healthy for rabbits. Hays that are mostly leaves and soft stems are also good, but will result in less fiber content. This isn’t really a problem though, as long as a rabbit is eating hay daily and of good quantities. Owners getting stabbed and poked by hay is a … daily occurrence? Haha. I would note the color of the hay though. The more yellow/brown it is, the less fresh/more exposed to sunlight it was, and this can make it very unappealing and not as good nutritionally, I believe
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.