I am an adoptive parent and a advocate for adoption. I hate to be the bearer of bad news, but the average time to adopt is between 2-8 years with the age and description of child you are interested in adopting. The first step is to register with an agency whether Public or Private. Once that is done the home study needs to be completed or updated, which can take about a year. You also have to have background checks, medical certificates and special classes to meet the criteria set for adoption. Then finding a child that meets the criteria that you have set with the hair color, complexion and age range is another huddle.
Even going through a private attorney will take about a year if they are able to locate a child that meets your criteria. Unfortunately, there is no way of getting around the rules. This is a link that gives information on Adoption, Timeframe, and what is needed to complete an adoption: http://www.canadaadopts.com/canada/domestic_public.shtml#time this will give you an idea of a Private adoption:
Each providence has it's own set of rules. This is the Rules for adoption in Qubec: http://www.adoptiveparents.ca/pq_main.shtml
When we adopted it took 11 years from the beginning. We tried with a Public adoption to no avail and after some time started with a Private attorney and after 3 years adopted our son Transracially which was considered a special needs adoption, because of being of different nationality.
I wish I could give you better news, but unfortunately, even though there are so many children needing homes, the government sets rules that have to be followed before you can adopt.
When rating my answer, I ask you to please do not rate me on the bad news I had to give you, but on the service I supplied. I wish there was another way to get you a child that you would love and to give that child a forever home in the timeframe you have listed.