Love Time Out? That's one way to get an idea of what happens and any blogs about it. There are a number of gay bars and clubs in Vauxhall too. Then you are close to the gay bars Old Compton StreetOxford st. Try another?
Make sure you book a hotel early, as London is a very popular destination and hotel in the center often fully booked.
What you do need to worry about is your budget which is very, very low for london hotels and hostels. Destination Expert for Lindos. Love Time Out?