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The word "should" in English has these uses when not used as a question:

  1. To express the expectation of the speaker (Probabilistic reasoning). 
    * The train should arrive in 10 minutes.
  2. To express a condition 
    * Should it rain, the event will be cancelled.
  3. To express obligation or the duty of ~. 
    * I should go home. 
    * You should study hard for the exam.
  4. To indicate an ideal state perceived by the speaker.  

    * Everyone should have equal rights.

From my understanding, I use `~はず` for 1., `~ば`(or other conditionals) for 2.,
and `~べき` for 3. .

**(Question)** What can I use for 4.?
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translation word-choice words conditionals
"Should" in Japanese
2 could also use `場合` to be a little more formal (`雨の場合は...`). 3 can also use
`～もの` as another option to `～べき` (`猛勉強するものだよ！`).

4 lacks a little context. While most of the time it will be perceived as
subjective (i.e., "(It's my opinion that) Everyone should have equal rights,"
it could also be objective in a few circumstances. For example, "A new law
passed. Therefore, everyone should have equal rights (now)," or something
similar. Each case would use something different, and I'm thinking `～べき` again
if it's subjective and `～はず` if it's objective.

I'd also add a #5 to your list: subjective recommendation, for which you could
use `〜たほうがいい` (and, I believe, also `〜たらいい` or `〜ばいい`).

> お前、風邪【≪かぜ≫】気味【ぎ・み】だね。今日学校を休んだほうがいい。 → You seem sick. You should stay home
> from school today.
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**TL;DR** You should be able to use ～はず or ～べき to indicate an ideal state
perceived by the speaker, but a phrase that contains 理想 would help to
emphasize that fact.

* * *

### 1\. To express the expectation of the speaker (Probabilistic reasoning)

You say that you would use はず in this case, but given your sample sentence
that sounds a bit too strong (unless you are really trying to emphasize the
point). I think that ～だろう／～でしょう or even ～よう would be perfectly acceptable and
probably more common.

> "The train should arrive in 10 minutes."
>
> 電車はあと十分で来るでしょう。 _(when you are expressing your belief or opinion)_
>
> 電車はあと十分で来るようです。 _(after looking at a timetable)_

### 2\. To express a condition

I agree with you in saying that ～ば (or some other conditional) would be
appropriate in this case.

> "Should it rain, the event will be cancelled."
>
> 雨が降ったらイベントは中止になります。

### 3\. To express obligation or the duty of ~

You say that you would use ～べき in this case, but the following would also work
just as well.

  * ～なければならい
  * ～なければいけない
  * ～ないといけない

In fact, I think that these are used more often than ～べき.

> "I should go home."
>
> 家に帰らなければいけない。
>
> "You should study hard for the exam."
>
> ちゃんと勉強しないといけないよ。

Note that you can also use こと to express obligations (I often see this in
bulleted lists).

> "You should study every day."
>
> 毎日勉強すること。

### 4\. To indicate an ideal state perceived by the speaker

Here I think that you could use either ～はず or ～べき, but to make it clear that
you're talking about an ideal state it would probably help to start your
sentence with a phrase containing 理想.

> "Everyone should have equal rights."
>
> 理想上では皆に平等の人権があるはず。
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