You can get repair kits off the Bay that work very well, without taking the tyre off. In most cases you don't even have to take the wheel off.
I first came across them in Walmart in the States. The kit has a T handle rasp. A T handle applicator and a set of rubber worms. Pull the screw or nail out, push the rasp in and out half a dozen times, push the worm in and set it by pulling the applicator out sharply. Trim off the outside bit of the worm and job done. Works out at about 50p and the kit lasts for years.
Only works for tread punctures.
I have used it on cars and my pickup.
Always keep a set in the glove box.
Never had a fail and I have run tens of thousands of miles on them afterwards.
Asda use to sell them in their motoring section, don't know if they still do?