£50 per hour and under is achievable, easily, but doesn't include the cost of an aeroplane. A group formed around at one at £10000-15000 would be my choice; Champ, Jodel, Rans territory, amongst others, if you can find one*. Fuel at 12-18 ltres per hour, hangarage £100-350 p.m., say, insurance from £500 upwards and upwards, peripherals and contingencies £ little to infinite all make rather elastic totals.
LAA aeroplanes are vital for many of us without bottomless pockets, however addicted we are, but we can fly more hours for fewer ££ than others in the same hangar.
Getting to know people is the best advice: many sales are never advertised and I second Kanga's view that joining a Strut would be a good idea and you'll get to talk to people with all sorts of aircraft. The Kent Strut has members at Rochester, which is handy for you and many of the meetings are there too. Online currently, but things are changing

It seems there's not much about currently, but the world is still waking up. If you can bide your time, enjoy any and every minute flown meanwhile, it should get better. Talk to anyone with an aeroplane when at an airfield; it's surprising how things can pan out. That person may know of someone with an underused aeroplane...or is considering going from sole owner to group...or maybe even knows another in your position.
Good luck!
* Citing bottom end of market as you indicated you're mechanically inclined.