Think you'll need to browse round the official websites and then confirm with a phone call to your nearest DVLA office that potentially could deal with your paperwork on Monday ?
eg
http://www.direct.gov.uk/en/Motoring/Buy...icle/DG_4022107eg seems they should issue a V5C once you've done your V62 application
and
http://www.direct.gov.uk/en/Motoring/OwningAVehicle/HowToTaxYourVehicle/DG_069680has a section about "Tax without a Registration Certificate or New Keeper Supplement"
so "timely" would seem to hinge on:
- "If you’re not shown as the registered keeper on DVLA records you cannot tax the vehicle."
- if the VIC test location (ie VOSA test station" is near to a "DVLA local office" that would be open at the time you get it which I think is unlikely as most "M-F 9-5" type places ?