San Stefanos Online ~ North West Corfu

Hi All - I have just returned from a holiday in Parga where I noticed that lots of apartments/hotels/village rooms, etc had "room available" signs outside their respective properties.  I am considering surprising my mum and dad who will be holidaying in San Stef next year and was wondering if I were to just book my flights to Corfu, then make my way to San Stef by taxi, if I would be able to find a room on arrival. I am not looking for much just a room (just for me) with a bathroom (no pool or sea view required) just near enough to the centre. 

I am planning this surprise for 5th July - 12th July. 

Many thanks in advance
Jacqueline