You are a human being that happens to be living with the HI virus. Limiting your choice to HIV positive men should not be your primary concern. Finding a good man should be.
You and your state of mind are two different things. Being open about your status with who ever you meet and letting them make a decision about whether they want to get with you is a better plan.
If you are HIV literate you will know about discordant couples. One spouse is negative. They exist, even here in Zambia.
Having kids is also and option that should not be taken off the table either. Kids have more than 80% chance of being born negative if the correct precautions are taken. PMTCT clinics will tell you that. I know of HIV positive couples that have HIV negative children. Making sure you don't get malaria or sti when pregnant will stop the baby from acquiring in the womb. A ceasarian birth ensures no infection at delivery (its the journey through the birth canal and injury to the skin of the kid and co mingling of fluids you try to avoid) after child birth either exclusive breast feeding or exclusive bottle feeding will keep baby safe.
Actually, your current path has the risk of exposure to drug resistant strains of HIV. If the man has failed on the first line or second line therapy (ART) and you are exposed to it you could contract a drug resistent strain.
So madam, consider keeping your options open but inform the chap about your status early on. That way you will not be prosecuted for wilful infection. There are a lot of good guys looking for good women. If you concentrate on being the kind of woman a good man would like to have and hold then things should work out.
PS with correct & consistent HIV treatment, correct life style (nutrition, exercise, temperance) and avoiding of exposure (condoms, femidoms) you have a good 7 - 20 years on 1st line ART and another 10 - 15 on second line ART and God knows how long on 3rd line. So one has a good chance of dying from old age.