There are several neighborhoods in Ramat Beit Shemesh.
Here is a website where you can see what the prices are for most of the neighborhoods.
I changed the periods to + signs to get this past the mods who don’t allow hot links.
You will need to change them back to periods and then paste that into your browser.
http://en+rentbetshemesh+com/
And while it’s true rentals would be cheaper in a place where everyone speaks Hebrew, it could be very lonely and frustrating if you don’t have anyone to talk to in your native language. If you are moving there, you will need doctors that speak English, a Rabbi that speaks English, etc.
Once you get an idea of what you can afford, you can write to:
Yisrael Sabijan Aliyah Engagement Manager
[email protected]
There is a lot more to making Aliyah then just renting an apartment. NBN will help you prepare.
Selecting a real estate agent is just one of the things they will help you with.
Like anything else, preparing in advance will increase the chances of success.
Good Luck!