I too have been searching for good ideas on this to clean the MT in-situ. I mash in a SS 100 litre tank so it's not always easy to pick up, or tip the tank to empty the grains out. I use a PP spade - actually a kids beach spade - to dig the grains out which go into an unused plastic lauter bucket to drain any remaining liquor before dumping into the compost bin. It's always a pain to get the little bits of grain out.
Before I upgraded to stainless tanks I built a nifty little recirculating system in a 10 litre bucket that was great for easy cleaning of the MT. The bucket had a taco SS mesh filter, a recirc pump which fed a flexible hose and about 5 litres of water. In the bottom of the plastic MT I had a 28mm tank connection which had a silicon bung in during mashing. Once I had dug out most of the grains, I'd lift out the false bottom and pull out the bung. The remaining grains then get washed out through the 28mm tank connector and into the recirc bucket. The water gets recirculated to clean the MT and false bottom. The 28mm hole never got blocked and this system would quickly wash out every last grain plus, the small bucket was easy to clean and handle.
I don't want to drill a big hole in the bottom of my shiny stainless tank so now I dig out most of the grains, lift the false bottom, then with the taps closed wash the walls and false bottom down. To stop the MT drain taps getting getting blocked up, the wash water gets syphoned out using a larger diameter pipe which sucks up all the bits of grain too. This method may need to be done twice to get the MT clean but it is still easier for me than carting the whole tank around.
If you have them, I'm open to better ideas.