Hi
Good Day. Thanks for visiting the HP community. I reviewed the post regarding issues with printing from your Chromebook.It will be a pleasure to assist you here.
Commendable diagnosis and splendid description of the issue before posting. Hats off to you on that score. 
For better clarity and to assist you better I would require more information regarding this:
- Did you try to reconfigure your Cloud account and check?
- Do you get any error messages?
For now, try these steps:
- Please perform all the relevant steps from this link: http://hp.care/2zgnf1I that best matches your current issue.
- THen check if the issue gets corrected.
If it persists, then contact HP phone support for further assistance.
HP Technical Support can be reached by clicking on the following link: http://hp.care/2r9wSvP
- Once the support page opens please select the country in which you're located. Next, enter your HP model number on the right.
- Next, choose the 'Contact Support' tab at the top and scroll down to the bottom of the 'HP Support- Contact' page to fill out the form provided with your contact information.
- Once completed click the 'Show Options' icon on the bottom right.
- Lastly, scroll down to the bottom of the page and select 'Get phone number.' A case number and phone number will now populate for you.
They will be happy to assist you immediately.
If the unit is under warranty, the manufacturer’s warranty should take care of it for you.
Please perform all these steps patiently as it is critical to resolving the issue. It will definitely fix the issue for you.
Hope this helps. Let me know how it goes. To simply say thanks, please click the "Thumbs Up"button to give me a Kudos to appreciate my efforts to help. If this helps, please mark this as “Accepted Solution”as it will help several others with the same issue to get it resolved without hassles.
Take care and have a blessed week ahead.
Cheers!