You could try playing around with the SnR, it can't hurt. If you speak with Be* they will only do the same but force a higher SnR at their end. If you manually do it your end you will have more control over the fine tuning. Be* will have 6dB, 9dB, 12dB and 15dB and will take you down them untill there are no more dropouts.
Manually adjusting the SnR yourself will give you better control.
Use the DMT v7 tool (you have to go into options to allow the experimental tabs (SnR adjustments), but with my experience and the BeBox (Speedtouch 780WL), this is all fine.
I would suggest taking note of the following incase the worst happens:
Sign in here:
https://www.bethere.co.uk/memberhome.do
Then go to support - bebox
However I have found the DMT v7 tool to be easy to use and work just fine as long as you don't "play", I only use it for adjusting the SnR at the moment, I don't play with the other parts I don't understand.
Once you have it all setup, push the SnR as high as it will go monitor it for a few days. If you don't get any dropouts, you know the SnR is the issue and some finer tweaking can be done to get the best speeds but with a high enough SnR).
Before this check the modem is in the master socket, and that all devices going into the telephone line are filtered. If the dropout is allways at a certain time, plug the modem into the test socket before this time and see if it drops thile in there. If it does, the SnR needs to be upped, if not then the problem is local (i.e unfilterd phone / faulty filter etc).
Hope this helps