Orestis,
If you are keen on an eclipsing binary, easier to observe than R Arae is the beta Lyrae eclipsing binary V1010 Ophiuchi, magnitude 6.1 to 7.0, period 0.6614 days (SIMBAD). It conveniently lies about midway between a magnitude 6.0 star (48 arcminutes away) and 7.1 star (57 arcminutes away), which is close to the range of variability of V1010. There is also a magnitude 6.4 and 6.6 star not too far away. Also, Ophiuchus will be in the evening sky for many months now.
See chart ...
http://www.aavso.org/tmp3/d23346.png
You might also like to read this ...
http://books.google.com.au/books?id=...hiuchi&f=false
If you find something more appropriate, that's fine.
Regards, Rob