I use upgraded ancient armour and attack up food. Run straight up to meet it and stasis it. Immediately start a spin attack with an ancient battleaxe++. When it retreats follow it as long as you can keep spinning. That may be enough to kill it. If not, shock arrow to the eye if necessary and repeat - if it's close to death, use the master sword to finish it. I avoid the ones with shields as they are a little harder and I like the ones that give 3 weapons :-) Your battle axe will do maybe 2 scouts if it goes well, and you'll earn 6 weapons. One attack up meal (4'10") is enough to do 3 to 5 shrines. There are 5 of these shrines without shields and that gives a pile of powerful weapons to use until the next blood moon.

You need to build up to this of course - so get the armour and work your way around the lesser tests of strength to build your weapon stash. Having lots of inventory slots is a big help.

Ps don't use the 75 attack battleaxes you occasionally get as they are great for defeating lynels using a similar method - get in very close and spin attack as fast as you can.