Forget about regular blackout curtains if your space is small, because even though they control heat well, when you open them they take up a ton of room on the sides and you end up losing square footage you don't have. The thing nobody mentions is that a lot of Japanese panels you see in stores are garbage - they have loose fabric that doesn't block anything. You have to specifically look at the thickness of the fabric and the type of weave, because that's what really makes the difference with temperature.
Compact rollers with blackout fabric are probably your best bet if you want simplicity and they take up almost nothing. I used them myself in my kitchen that faces north and the change was noticeable, especially in the afternoons. That said, if you're up for Japanese panels, look for the ones with double layers of fabric and a reflective material inside. Sounds complicated but you can find several in stores, and those really do keep the temperature a lot better than the basic ones.
What I'd do in your place is combine them: a blackout roller for total control when you need darkness (and it takes up practically nothing), plus a reflective film on the outside of the window. Those films are cheap, easy to put on, and they make a crazy difference with the heat coming in at sunset. Try the roller first, because it's the least commitment, and if you still want more temperature control, you add the film. Honestly, after three in the afternoon in a small west-facing room, every degree you can take off the space counts.