Hi MD,
You have several options for safe bunny litters. Let me start by saying that when you read that pine and other aromatic beddings are bad, they are referring to beddings made from pine shavings. There are several options available to you that are made from pine, but are safe for your bunny.
Carefresh: Personally, I hate carefresh. I think it is appropriate to use for a litter box where tiny babies are present, and maybe for post operative bunnies, but for regular usage it is expensive and does a lousy job of odor control, quickly becoming a sodden mess that reeks of ammonia.
Pelleted pet litters: There are several options here. I like the Green Pet Aspen Supreme pellets for superior odor control, but these have a very woody smell that you have to like to use it. Cat Country/Critter Country is also a good choice. This is made from wheat straw and does a good job with controlling odor and is safe for bunnies. Feline Pine (sawdust pellets) and Yesterday’s News (recycled newspaper pellets) are good choices too, and are widely available. Avoid the corn cob litters and anything labelled as a clumping litter, these are supposed to be bad if bunnies ingest them.
Wood Stove Pellets: Given that you are in Las Vegas, I doubt that you’ll find these, but these are a pellet made for fuel for pellet burning stoves. They are made from compressed sawdust, and much less expensive than any of the litter pellets, they cost around $8 per 40 pound bag. Many rescues use these because of the price differential. I compost all of my bunnies’ soiled litter, and these take a long time to decompose. If you find them, make sure they have no hydrocarbon accelerants, and are pure 100% sawdust with nothing added.
Horse Stall Bedding: Similar to the wood stove pellets, these are also made from compressed saw dust. The pellet sizes are smaller and less regular than the stove pellets, and these are made from lower quality sawdust. This can be found at feed stores and places like Tractor Supply for around $6-$8 for a 40 pound sack.
Newspaper and Hay: If you are willing to change the litter every day, you can go the very inexpensive route of lining the bottom of the litterbox with newpaper, then covering it with a coating of hay. This setup is very cheap, particularly if you can get baled hay, but offers no odor control at all. You need to use the hay, or your bunny’s paws will turn black from newsprint. Many shelters go this route because it is super cheap.