I was a bit imprecise, admittedly. The Bill of Rights does make guarantees toward individuals, but originally pretty much only as far as Federal legislation was concerned. Individual states were under no real obligation to make the same guarantees to their respective citizens, essentially meaning that in practice, an individual American citizen's actual legal rights was decided by his or her state of residence, not by the Federal Constitution. Also, the Bill of Rights, from my understanding, was introduced largely to placate those states which had been hesitant to ratify the Constitution in the first place. Hence my position that the Bill of Rights was originally about the Federal government promising to stay out of the business of its participant states, not about guaranteeing the legal rights and freedom of any and all of its citizens.
I: Religion, Speech, and Assembly - private, State only by a stretch.
This Amendment did not put any restraint on state governments until the passing of Amendment XIV at the earliest, and in practice not until the process beginning with Gitlow v. New York in 1925. Individual states historically made numerous laws restricting speech, religion and free assembly. Breach of peace laws would ban some public protests; some states collected religious taxes; pro-abolition literature was banned in the Antebellum South.
II: Right to bear arms, admittedly to protect a "free State."
As mentioned, I believe that this was originally primarily a safeguard against Congress disarming the member states of the Union. Admittedly, the states don't actually seem to have been very restrictive themselves in this regard, historically. I would not be surprised if even free blacks were prohibited from carrying weapons in most or all of the Antebellum South, but I don't actually know. The earliest example of an actual local gun control law I can think of at the top of my head was the one enforced by Wyatt Earp in Dodge City, and I have no idea how mindful he was of Constitutional semantics.
III: Right not to be stuck housing soldiers in your home. Private.
True, though since the army as such is and has been a Federal institution, it doesn't really restrict state law in any meaningful way. It can easily be read as a guarantee to individual states that the Federal government won't impose on the hospitality of their respective citizens.
Interestingly (and as an aside), Alistair Cooke in his US history documentary series claims that Amendment III still allows for American soldiers to be housed in the private residences of foreign (specifically, British) nationals, and that the old legal precedence established for this allowed for American soldiers to be quartered in British homes during World War 2. I have seen no second source confirming this, but I suppose it's possible the question could have been raised during, say, the War of 1812.
IV: Right against unreasonable search + seizure. Private.
Not actually binding on state and local law until Wolf v. Colorado in 1949.
V: Due process, etc.. Private.
In practice only made binding on the states with the passage of Amendment XIV.
VI: Speedy & public trial, etc.. Private.
Same as above. Did not in practice extend to most Americans until the Supreme Court took the states to task over Amendment XIV, well into the 20th Century.
VII: Trial by jury. Private.
The wording here is "any Court of the United States", which I strongly suspect was taken to mean "any Federal Court" up until the passing of Amendment XIV at the earliest.
VIII: No excessive bail. Definitely private (how exactly would you bail a state?)
Look to the story of Francisco Pizarro and Atahualpa for an answer to your question. :-P
Admittedly, ransom and bail are not quite the same, but setting a ridiculously high bail for a prominent individual suspect (such as a state representative or notable) could conceivably be used to screw over the entire state politically. And who else would you even want to set a ridiculously high bail for, except a politically troublesome person?
IX: Naming some rights does not disparage others held by the people. Private.
An entirely vague amendment which, again, places no inherent limits on state and local law. It's been used to argue both for and against the legality of abortion.
X: Powers not named for the federal gov't in the Constitution are reserved to the States, or to the people. State + private.
Entirely States' rights except in the Territories, and in the Territories it wouldn't infringe on States' rights anyway.
In conclusion, I should note that the source I'm basing a lot of my understanding on is
American Government - Roots and Reform, by Karen O'Connor and Larry Sabato.