My family owns a blind company. Through high school and college I installed thousands of blinds. You wouldn't believe the amount of verticals we throw away. They look tacky, break easily, and I personally hate them. There are other options for sliding doors, but they are too expensive for rentals. Just leave the doors open.
2" white faux wood blinds can often be cheaper than the aluminum mini blinds. The vinyl mini blinds just break too easily.
My advice is to do 2" faux woods on all windows with NO tilt wands. Use string tilters. Often the same price, but last longer.