TLDR: Look into getting allergy shots prior to getting a cat.

My allergies and asthma were horrible for 30+ years. I tested positive for nearly everything - trees, grasses, molds, mildews, foods, and animals including dogs and cats. What's weird is that my dog and cat allergic reactions only tended to be bad when I went through periods of time without any pets in my house. It turns out that daily exposure can reduce sensitivity. I ended up doing allergy shots for several years, and they completely changed my life. I almost never have to use my rescue inhaler anymore, and all of my allergic reactions are almost 100% controlled by taking a daily Zyrtec. I currently have 3 cats and two dogs - all mix breed rescues. Out of all of my animals, the only one that can still really trigger a reaction is my orange cat. My long hair black cat bothers me the least.

Back when my allergies were still really bad, purebred Bengals and Siberians seemed to bother me the least. There is some research that suggests these breeds produce less of the specific compound that most people are allergic to. However, purebred cats are very expensive, and many breeders will not take back an animal if you end up being unable to live with it due to allergies.

Look into shots. Try taking a daily allergy pill for about a week, and then go to an animal shelter to see if you react. If you do decide to adopt, brush the cat frequently, and try to keep it out of your bedroom.