Have you tried the online chat messenger? /contactus/moving-home Scroll down and click on Message Us. It's not manned 24/7 as phone calls have priority, however it seems to be the best method for home moves at present.
You could also try the text messaging service. Just send a text with a description of Home Move to 07533 051809. Your message will go into a queue and a representative will respond to you as soon as possible. It may take a few days.
You can also call 150 from your Virgin landline, or 0345 454 1111, options 1,1 and 4 (Moving Home) butbest to call at 8am to avoid call queues
The Service you do for others is the rent you pay for your room here on Earth - Muhammad Ali