If you don't want to open it up because it is a laptop, (which I entirely understand and agree with), your next step, realistically, is going to be to call some repair shops.
It would not be odd if the cooling was compromised to such an extent that the CPU is on the edge all the time and 20-25 seconds of 100% usage takes it way over the edge. You need to be running some temperature monitoring software, then you have some figures to work with. We don't know your idle temperature or how the temp spikes up with 100% cpu usage. RAM can overheat very easily also. Your laptop might be full of dust and fluff.
This is all irrelevant, since you'll be calling the repair shop. Believe me.
I know quite a few people who have found out the downside of laptops like you have.