Ok..one thing about the signal strength indicator- it does not technically give you the measured signal strength, like on a cell phone. Each signal bar represents a received RF data packet, so if you only have 2, that means you missed last two packets- it amounts to the same thing, you are either out of range/ edge of range from the transmitter or there is some sort of physical or electronic interference.
You may try switching the sensors and the receiver to a different channel (ABC switch located in battery compartments of each), look at your manual for more information on switching channels.
Battery power typically does not affect the signal transmission intermittently ( I.e., low battery power does NOT = low signal strength), unless alkalines are being used and are freezing up in very low temps overnight, and then warming up again, etc. Usually you will get the low battery indicator for up to a month in some cases, all the while you will still receive information from the sensor- again, unless temperatures are temporarily affecting battery output.
It seems you are definatley going through batteries quicker than normal. These sensor batteries will usually last 8 months to a year, depending on how often the wind is blowing the anemometer. Try changing the channel (abc switches), make sure and post your findings- let's see if we can figure this out.