Yes, Kens is expensive, but if you pick the right parts, you can find accomm that is affordable.
If you pick something like Earl's Court/West Kensington you should find a room in a houseshare for £500-600. If you live further away, you can find cheaper places (e.g. East Acton) but it depends how much time/money you want to spend on transport. Sometimes it's easier and cheaper to live in Zone1 and walk everywhere. Esp when a Monthly Zones 1-3 oystercard is £100!