To get a good orange color you are best off to use Paprika (sweet). Infuse it for a long time, make a strong infusion to begin with and leave it to infuse as long as you can. I dont even think of using any of my infusions before 8 - 12 weeks and I consider those young. I much prefer 6 months or more.
Paprika is long lasting and very successful with many shades of orange.
Turmeric is a ph indicator starting out red and going more of a yellow orange and finally a yellow. Annatto is what they use to color cheese and you can get an orange but again it would have to be a long strong infusion The two soap photo is annatto on the left and paprika on the right. Both using the Freya (alcohol) method. The line up shows all the shades you can get using turmeric, annatto, paprika and other plants once the soap is cured (8 weeks for me).