All good suggestions here. Treat-dispensing toys, asking her to work/obey commands for food and providing lots and lots of exercise and mental stimulation should help. Daycare is an invaluable resource. Make it a priority to find a daycare that has lots of other high-energy dogs to tire her out; if she tires the other dogs out and is still going strong, ask them to rotate her through playgroups. A hyper adolescent basenji has more energy than other breeds, and daycare isn't doing you much good if your girl is crated or not racing around with other dogs. Bring her home and walk her at a brisk pace, if she's still bouncing off the walls. Try play groups or beginning agility classes at night or on weekends.
Clicker training is usually fun for a high-energy dog. If she's food motivated, it will be easier since she'll be eager to do what you ask for food. If she isn't particularly food motivated, try high-value treats (bits of chicken, turkey, hot dog, cheese, etc.). Hiding small bits of food/treats around a room and having her find them is something else you can try. My girl loves this.
But, in my experience, what will help the most is another year. The time between 1 and 2 years can be very challenging, as your active girl works through adolescence, testing every boundary and finding new ways to spend that endless energy. Hang in there. This phase will pass quicker than you think, and when your girl turns 2 or so, she'll grow up, calm down and become a different dog. It seems to happen almost overnight!