I’ve used basil in a Belgian triple. It was at an admittedly small amount but I thought it played nice. I don’t know about thyme or anise. I don’t think thyme would fit and I don’t like pronounced anise but those are personal preferences.
I had a wonderful strawberry basil mead before. Basil can go well with watermelon or limes as well.
Thyme could work well with either dark fruits like cherries,blackberries or figs,or alternatively,light fruits like peach or pear.
Herbs can add a really interesting character in cocktails, and I am sure it could be pulled off with mead, but a little goes a long way. Should test a small batch to get your ratios and timings down. I would refer to cocktail recipes as a guide. Maybe even infuse your honey with it...