We have a painted plywood box, top hinged, ordinary toilet seat and lid. Sized to lock a 5 gallon bucket in place and self-store additional plastic bags. It works very well and is more stable and "familiar" for kids.
I disagree with you about plastic bags for a number of reasons. If you pre-line the bucket with two kitchen garbage sacks, clean-out is trivial and you have an insect-proof container if you tie it off correctly. No harm in sticking it in a garbage can at the corner of your property, burying it as-is temporarily, etc. You would not believe how quickly a 5 gallon bucket fills... first rule is, if you pee standing up, go outside. Pre-lining the bucket with about 6 bags gives 3 "uses" with a double-bag confinement, which should carry you thru most outages OK. If you need more, fine; add later. But probably by then a tarp-rigged outhouse is going to sound pretty good.
I'm not comfortable about the bleach - what is its purpose? It will get used up in moments (oxidizing the organics) and then do nothing. It would be OK as a post-sewage-digestion disinfectant (many sewage treatment plants still use chlorine as the final treatment step, but's just polishing - a disinfection step at the end).
And there is the possibility that there will be in ammonia in the waste and we try to avoid making chloramines in our home...
The traditional vector control for latrines is lime - usually un-slaked lime (very caustic until it's slaked, then somewhat caustic). How it works isn't really important right now; use the latrine and sprinkle some lime dust over your job. Any odor reduction that may occur is gratuitous - the purpose is to reduce insect-borne disease.
Un slaked lime is very inexpensive in your local building supply store (will be with mason supplies or cement/concrete supplies). Best for storage will be in a sealed plastic bucket - a bag is far more than one would need, so share it with someone else if you like.
But personally, I wouldn't bother. You can get the "blue water" stuff but it needs to completely cover the waste pile in the bucket or it can't do its job (vector control again, plus some camoflauge for the odor). Just use the plastic bags and dispose / set out as needed. It's all short-term use anyway - long term means building a privy, which is simple enough.
HTH,
Tom