I have not counted recently, but I do believe I raise and eat 30 or more turkey variety's. Taste has a lot to do with what they eat or don't eat, their age at butcher, how they are processed, and how they are cooked. Any turkey that eats bugs and good pasture is going to have a richer flavor. If you like home grown chicken then you will like home grown turkey of any variety. Some people do not like the taste of home grown poultry.
I do worry that you say you do not eat your pets. Have you ever butchered a chicken? Turkeys are so much heavier to processes than a chicken if you are scalding them. All my turkeys are friendly and sometimes that makes things hard. I don't like killing day. Heritage turkeys, make very good pets. Broad breasted turkeys can have health problems that shorten their life. Some do not make it to butcher age. Their clock is ticking, they all look the same, so I don't feel so guilty. I am just doing what needs to be done.
I have done a lot of research on taste test of turkeys. I even started a post about the many taste test.
https://www.backyardchickens.com/forum/viewtopic.php?pid=5758227 Seems there is a rumor that I see being repeated about Midget White winning every taste test. That is not true. The only taste test that the midget white has won is the taste test that Ayrshire Farm compared their organic heritage turkeys has put on against a Butter Ball turkey. The taste test was partly judged on looks, so not exactly blind taste test. Midget white have even come in dead last in a resent taste test. There is just a million articles about the Ayrshire taste test that make it seem like the midget white are always on top.
If your looking for the most amount of breast meat in a hurry go with Broad Broad Breasted Whites. Standard weights at maturity are males-45 lbs. and hens-25 lbs. but most people butcher them way before maturity. Hens are marketed between 14 and 16 weeks of age. At this age hens will typically weigh from 14.7 to 17.5 pounds. Toms are often marketed between 17 and 20 weeks of age and will weigh from 26.4 to 32.3 pounds. Turkey hens at 16 weeks of age will have consumed about 45.5 pounds of feed with a feed conversion (pounds of feed per pound of gain) of about 2.5. Toms at 20 weeks will have consumed about 94 pounds of feed with a feed conversion of about 2.9.
If you have a lot of time to raise a turkey, and do not care what it cost you. Then try any of the heritage breeds. We started our personal 2011 Thanksgiving turkeys last fall. They need plenty of time to develop good juicy flavor in my opinion. Many people eat them at 6 months due to the high cost to raise them. I find you will never know the great taste potential if you butcher that soon. Heritage turkeys reproduce naturaly. The hens are half the size of the males. If they are good enough to make breeders, I keep them. Those that are not good enough are cut up for the BBQ. The big toms do not look like the turkeys that you might be use to. The breast is a lot smaller. It is the dark meat that is different than the store bought turkeys. Some say chewy in texture. It is not for everyone, but those that like it really like it.