I'd send it to Nokia direct (have them pick it up!) and if they refuse to repair it remind them of their obligations under the Sale of Goods Act, mention having a word with your local Trading Standards office etc. - the WSOD is a known design fault, and as such it should be covered even outside of any warranty period.
If the repair center asks you for an IMEI number, quote your WiFi MAC address. When boxing up your 770, send only the device body and do NOT include the battery, battery cover, memory card, stylus or desk stand - keep these back as Nokia will not return them to you.
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