Though it could take longer to a beginner to model it from scratch than to an experienced user, it would be a great practice so you understand better the software and in the future you’ll be able to solve this kind of things and even more complex easily. I also recommend you to try the pro version, there are more tools native and plug-ins that make the work a lot easier. If you use it as a hobby you could try sketchup Make 2017, that was the last free version that was able to install plug-ins, it’s not downloadable from the official sketchup website anymore but a lot of people are still using it and if you take 5 mins on google or even on this forum you can find the installer.
Edit I found a post: