I have found I can mitigate a lot of the issue by lightly toasting the rice first and by making casseroles with it.
Tonight, I started with a Paloma and then made a Chicken Mushroom Casserole.
1/4 cup fresh squeezed grapefruit juice
1 T agave syrup
1 T lime juice
1/4 cup tequila
Salt the rim of a highball or margarita glass.
Place all of the ingredients in a shaker with some ice. Mix well, pour over ice into prepared glass.