Your shutter speed controls the amount of ambient light registered by the camera. Take the shutter setting up to 1/250th and you'll get the minimum amount of ambient and hence the minimum orange colouration. IF you want to actually use the ambient for some reason (fill-in, maybe?) then you are mixing two diverse colour temperatures (circa 5600°K for the flash and circa 2800°K for the tungsten).
The colour temperature of incandescent bulbs varies quite a lot depending on the wattage of the bulb (lower wattage = warmer colour) so you'll need to do a bit of testing if you want fully balanced lighting. Starting point is a CTO filter on the flash (Colour Temperature Orange = conversion from Daylight to Tungsten [crudely speaking]). Each time you change your shutter speed, the filter will need adjusting (see first sentence).
The Rogue filters are fine, not the cheapest and the rubber band is a bit of a pain if your fingernails are trimmed. They'll at least give you options for getting fairly close. Cheap spare bands can be obtained from model shops, used for fastening wings on gliders. You will, as others have noted, have to tweak the White Balance in camera AS WELL as filtering.
Basic thing to remember, though - only change ONE thing at once or you'll get in a tangle.
The YN565EX beep varies from model to model (it's just a basic, cheapo buzzer inside the foot). If you want it ON but quieter, you could try taping over the hole in the foot where the noise comes out of. I have 3 YN565EXs and each makes a different noise, and at a different volume too. There is also no standardisation about how deep the buzzer is inserted in the socket. You may be able to stuff the inside of the socket with tissue or something - easiest way is to just ignore it, though. 

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