MissPiggy - Hi - and welcome. You say that your state has banned your preferred brand of vodka. OK, but there must be a thousand brands of vodka made in dozens of states other than Russia, and indeed, here in NY there are small distilleries that make vodka. But basically, what is vodka? A relatively inexpensive spirit that typically does not advertise its own flavors in the way that whisky, gin, brandy, Tequila does. It's the tofu of spirits. Go looking for a vodka that has the proof you want. I say all this as someone who often makes liqueurs from very inexpensive spirits.
All that aside, I would imagine that whatever the medical benefits of turmeric, they are accessible whether the oils are made available through the powerful solvent of a spirit, a less powerful solvent that is wine or by cooking. I have to agree with MilesBFree, I cannot imagine that drinking turmeric wine would be anything desirable.. but I do know that for the indigenous Ethiopian mead known as t'ej, many folk add a little turmeric to shift the color more towards bright yellow. I make t'ej but have never tried to add turmeric.
Could you substitute turmeric for ginger, to make a wine based on a ginger recipe. Experimentation is at the heart and soul of the scientific method. I would make a very small batch but if it meets your expectations and your demands then there is nothing to stop you making a bigger batch.