Or, sticking more on budget:
Unifi UAP-AC-Pro (for standard PoE support) x2 - £245
There is no need to use the Pro models for ‘standard’ PoE support. Since August 2016 all Unifi APs have supported both 24V and 48V PoE. You can use non-Unifi components with the APs but they are designed to work as one holistic system and that means spending the money to do it.