The Hive you had fitted required the base to be wired near the boiler, @bob-the-intern has said he does not want to alter wiring, the only wireless thermostat I know where the base is battery powered is the Nest e, all other wireless the base needs 230 volt power.
There are loads of programmable battery powered thermostats, I for years used a Horstmann DT2latter replaced with Flomaster View attachment 266070 the Horstmann was easy to use, the Flomaster needs combination of buttons and I had to keep the book with it, not intuitive, but both worked well, Horstmann 4 slots per day, Flomaster 6 slots per day. Batteries would last 2 years, but changed them every year as did not want it to fail, the battery indicator on the Horstmann would show good but there was not enough power to work relay, so first indication of discharged batteries was cold house.
The change to programmable was due to changing to LED lighting, pre-LED the inferred from the tungsten bulbs made the room feel warmer when lights were on, so set at 18°C all day, when we changed to LED wanted it 18°C in daylight and 20°C in evening. Does raise the question do LED lights really save energy? But change was because with tungsten changing a bulb every two weeks.
Actually it didn't require to be near the boiler. It is in the airing cupboard one floor up and 40 feet away from the boiler with the internet hub in the lounge at the other end of the house to the boiler.