I just bought a genius screen 24" x 62" from home hardware for $125. I also don't want. To have a screen door in the way so up is a great alternative just not as intuitive as a door. I have wood side pieces as others have made to keep the shape of the body since the door would not line up until I put them in. I will bend it slightly at the bottom so it just meets at the door. Also I will be notching the side channels into the sides of the drop floor about 1/2" so it will be even more out of the way of the path through.
The inconvenient part is having to bend down to lock it but to release you could nudge it with your foot and it safely recoils at a safe speed.