Coccidia is a tough nut to crack. There are not many disinfectants in general that are capable of killing it, at least not any you would want to use around your animal. A 10% bleach solution is NOT effective against coccidia...that should put its resilience into perspective. From my own knowledge, the best things to use against coccidia are Ammonia based solutions. A 10% ammonia solution will kill coccidia within a 10 minute contact time, as will QUATS (Quaternary Ammonium Compounds), Rocall D being a popular choice. That said, none of these are even remotely safe for use around your animal, requiring venting and rinsing before putting the animal back in the viv.
Steam with temperatures higher then 165 will also kill coccidia, and is safe for use around animals (other then the burn risk). That said, steam may damage plastic or crack glass if your not careful.
In general, if your animal is healthy and the viv is kept tidy, Coccidia shouldn't be an issue. If you are looking for a safe disinfectant to use around your animal, then perhaps the best choice is Chlorhexidine. Its a general duty disinfectant AND wound wash, with no fumes or caustic residues. Its diluted 2oz to a gallon of water, so its very cost effective. I personally use it as my daily use sanitizer, as you don't have to pull the animals from the viv and it can in fact contact their skin without issue (don't get it in the eyes, and don't let them drink it). I do my best to keep the animals away from it though, but a couple times I have cleaned dirty feet with it. You can find quarts of concentrate online for around $8, and that should last awhile.
This isn't effective against Coccidia however, and proper sanitization requires at least a 15 minute contact time (for reference, a 10% bleach solution requires at least 10 minutes). That said, you'll be hard pressed to find anything safer for use around your animal, and this does NOT need to be rinsed, just blot up the excess liquid. It continues to protect the surface for a couple days after application too. Always pre-clean soils beforehand as debris will prevent proper sanitization.
Recently on this board a product called Starsan was mentioned. Its an acid based disinfectant used by home brewers. It has a very short contact time (2 minutes), and no fumes. It isn't safe for direct animal contact, and I would probably want to wipe down the area with a damp cloth after using, but other then that its very safe for use around animals. However, there isn't much information about its effectiveness against coccidia, or similar parasites. But factor in the short contact time and lack of fumes, and this would make a good general duty disinfectant. Its as effective as bleach, if not more so. Also, the dilution ratio is extreme...requiring only 1oz to 5 gallons of water...yes, 5 gallons. So break out the eye dropper to judge dilution in small containers lol. Translates into roughly 1.4th a teaspoon for a 24oz sprayer....money certainly goes a long way with this product.