Thank you for your question. You might be a good candidate for Sclerotherapy. Sclerotherapy treatment involves an injection of a chemical that will cause your vein to contract and become scarred internally. The vein will disappear from your body after some time. Generally, it takes about 8-10 weeks for the vein to disappear. For more information, I recommend getting a in person consultation from a board-certified dermatologist.
Spider veins of the back may be treated by sclerotherapy or a light based therapy such as laser or IPL (intense pulsed light) depending on the diameter of the veins.