I'm not a fan of Chromebooks.  My wife is on her 3rd one because of similar problems.

I have had success by holding down the power button for maybe 30 seconds.  Then release it and wait maybe 5 seconds, then just press it once.  If it doesn't come on.  Close the lid and wait maybe 5 to 10 seconds, then open and see if you get a screen asking you to log in.

There are a lot of deals on Chromebooks this black Friday, some as low as $79.  Something to consider.  Good Luck.