No, this isn't the best time to transplant, but since the house is about to be demolished, it's either now or never. Here’s some very good general rose transplant advice from two sources:
From the Elizabeth C. Miller Library:
“Roses: 1001 Gardening Questions Answered by the editors of Garden Way Publishing (1989), says that the best time to transplant it to its new location is early spring or late fall. Before moving it, prune it, “leaving three to four canes. Prepare the new hole in the ground (and) give it some extra attention after it is planted.” This resource says that spring transplanting is preferred, because with warm weather on the way, the rose will have a better chance of starting new growth. When digging up your rose, dig a circular trench one foot away from the crown of the plant, removing the soil around the plant with your shovel. Loosen the root ball, and then take hold of the crown and push it back and forth to loosen it. Then lift it out of the hole. Dig a deep hole in the new location. Add two inches of compost, build a mound of soil, and spread the roots over it. Fill in with topsoil, make a ridge of soil around the base of the plant, and water well. Afterwards, water carefully, neither too much nor too little.”
From Brad Jalbert and Laura Peters "Roses for Washington and Oregon" (2003):
The authors advise caution and comment on how "transplanting roses can be complicated." They say "Roses are said to dislike being moved once established. . . The younger the rose, the more likely it will be able to re-establish successfully when moved. . . . If you are moving a rose to a spot where another rose previously grew, add fresh soil or lots of compost, as the previous rose may have depleted the soil of nutrients. It is equally important to use fresh soil or lots of compost when planting a new rose in a spot where a diseased rose was removed. There may be populations of organisms in the old soil that could. . . attack the feeder roots of new roses, limiting the rose's ability to absorb water and nutrients."
Hopefully, this information will increase the probability for a successful transition into your garden. Happy digging!