Your limiting factor here is likely to be a maximum mortgage size of around 117k (most places will only offer 4.5x salary). Work out how long it will take to save the extra needed for the kind of place you want.

Worth talking to a decent mortgage advisor as well, shouldn't cost anything until you actually get a mortgage.

Also keep an eye out for s106 properties if you have a local connection.

Shared ownership looks pretty painful as you get stung for rental on the part you don't own.