Not sure what you mean by 'KM'? Is that 'Kushi Maya'? If so I personally think you would be better of with something hardier.
What kills hardy bulbs in pots are usually that the freezing/thawing goes too quickly compared to in ground or that there is too much moisture. This is the reason that the pot (or barrel in this case) normally needs to be insulated. You have an advantage in that the barrels are big as this will slow the freezing/thawing some. The use of a free draining mix with for instance horticultural grit and some leaf mould would be far superior in comparison to a peat based one. Peat will get too wet and stay frozen too long in the spring. You don't want standing water at any level in a pot/barrel as when it freezes it will prevent all drainage. Also you ideally need the soil in the barrel to come in contact with the ground as this will help with drainage. As per usual in a pot, you don't want any drainage layer as this will actually stop the free movement of water and lead to a perched water table. Protecting the barrels from excessive rain as Lorn suggested in the other thread is wise, but is no substitute for a good free draining potting mix.
My suggestion is to use plain buckets and sink them in the ground for overwintering instead. This works very well for me, even when using a little less than ideal potting mix. (I use sand and leaf compost, simply because that is something I have plenty of here. It's better than peat, but not as good as horticultural grit). Safest is under an overhang or to cover them with a piece of glass or similar. A greenhouse/ cold frame is ideal. A compost heap would also be excellent provided you don't have rodents. When spring comes simply sink the buckets in your barrels. At this time you could apply some dry mulch between the buckets/pots to get a nicer appearance if so desired.
