That structure looks tricky, and might work well only in perfectly mild weather with no wind-driven rain.
A covered porch is one of the best answers. But if not originally attached, with proper flashing, they can cause interior leaks in the house.
Clothespins are NOT a hassle, as long as you buy wooden ones with springs, ones that have a dependable grip (big enough ones, 3-3/8"). You keep them in a small totebag slung diagonally across your torso. Do NOT leave them out on the line, because even in a dry climate, they will begin to mildew, and the carbon makes permanent stains on your clothes. WHY USE CLOTHESPINS? Their versatility allows you to dry faster & thoroughly. Because you pin the clothes just from a bottom edge of a T-shirt, and the open top edge of a thick sock. THINK: keep the clothing OPEN for maximum air flow. Often, you need to turn pants inside out to expose pockets to air, and unbutton flaps on shirt pockets.
REMOVE THAT MENTAL IMAGE of clothes bent over a clothesline, in order to pin them, which creates 4 thicknesses of cloth that you're trying to dry! Maybe our ancestors only had the non-spring pegs they made themselves, and if the cloth was thin, it took 4 thicknesses to hold those pegs?
Don't forget to also use twiggy shrubs, lawn chairs, lath panels, fences for all those extra space-taking socks!
You drape very large/heavy items over 2 lines. A dryer can be used briefly, before or after hanging out the laundry, to fluff it or hasten drying.