Yes, there are indeed quaffable white wines around the $10 mark, including this Italian blend.

Pellegrino Cavallina Grillo/Pinot Grigio 2018—Marsala, Italy ($10.15)
A surprisingly, pleasingly smooth texture shoves this blend of Pinot Grigio and Grillo (think of a bigger Grigio with attitude) into the middleweight white wine category. Quite well balanced for this price. Notes of Granny Smith apples, pears, melons, herbs and lemon meringue pie. A little vegetal on the palate, with just a hint of bitterness of the finish. 12.5% alc. Good patio sipper but with flexible food pairing ability. Super value. 87