I've never had an on the road puncture (Thankyou Marathon Plus tyres.) However, a couple of weeks ago, when I wheeled the Trice out it had a flat. In my side pods bags I have a box section piece of aluminium, which on the Rapto works with the side stand (rests under the seat on the opposite side of the side stand) to lift the front off the ground for wheel removal. On the Trice it rests under a bit of stuck on inner tube on the seat tubing to lift the rear up. The trice has a rear disc brake, BUT (and this is the clever bit) I also have 1/2 inch wide pieces of innertube around each grip solely to stretch over the brake lever to lock both front brakes on to stop the trike moving when removing the rear wheel. It works very well!
BTW the puncture was innertube failure, the M+ tyres still haven't failed me in 30,000 miles!