I'm a bit lost here about worrying about the influence of the companion. Isn't the objective of observing an eclipsing binary the eclipse itself? If Orestis just wanted a variable star, he could pick any number that aren't binaries.
Outside eclipse, the observed magnitude is the net contribution of both stars, while the deep eclipse is when the dim companion eclipses the brighter companion, and there can be a secondary shallower eclipse where the brighter eclipses the dimmer.
WX Sgr is a nice example in our mid evening skies at the moment, and shows both. Mightn't be ideal for your purposes Orestis, with a period of 51.1 hours and an eclipse lasting 7.3 hours from start to finish. It's not like you'd see it all in one night. Bit dimmer than R Arae too, and similar problem with comp stars. Better magnitude range in AAVSO's VSP if you chart wide, but again you have to go outside the telescopic FOV,
very difficult for visual estimates.
WX Sgr light curve from ASAS data here:
http://i727.photobucket.com/albums/w...lot_phased.gif
Cheers -