If your south facing back yard has no shady spot to set your trees, try using a styrofoam cooler. Punch a few holes to get a little air circulation, doesn't need to be many holes. Place trees in the cooler once deciduous trees are leafless, and night temps regularly dip below 28 F (-3 C) more than once or twice a week.
The often repeated adage that most hardy tree roots can not survive temperatures below +25F is nonsense. I live in the mid-west, here water mains are required to be buried 6 feet below grade, simply because the ground freezes that deep. The surface layer of the ground, where our landscape tree roots are, gets as cold as the average air temperature. This can be near 0 F or even colder in a cold January or February. (daytime highs, might be +5 F, night lows can be as low as -17 F ( -27 C)). No way does our surface soil stay above +25F when night time lows are -17 F. Tree roots are much more winter hardy than the Pacific Northwest dwelling authors of the article that asserts an absolute +25 F limit for temperature tolerance. Look at your USDA climate zone map. Trees hardy to climate zones one or more zones colder than your location should do fine in pots just set on the ground and mulched in, if in a shady spot, or set in a cooler if a sunny spot is your only option.
Warm sunny days in middle of January are when most freeze-thaw damage happens. The rapid return of cold is rough. Here the cooler helps prevent heating up on those midwinter thaws,, and slows the abrupt cooling when "normal" cold returns.
I set my pots of zone 5 and zone 4 hardy species on the ground, and mulch enough that they are protected from wind. I generally have had good survival rates, near 100%. Ceramic pottery is another issue, The quality of the clay and the shape of the pot play an important role in surviving freeze thaw cycling. Most trees in training are in plastic or mica pots. Trees in good ceramic regardless of hardiness get wintered in unheated well house to save the pottery rather than the tree.