Things you can do at Shields:
For $12.50/UC quarter (about 3 months), you can check out up to 5 books at a time. Bring your Los Rios Student ID card and a printout of your current schedule to the Shields Library Information Desk.
Some of the computers in Shields require no student login to use (look for the ones with the red "Public" label). Use these to access UCD databases. You'll be able to email articles to yourself if the database allows that. Otherwise, you can print articles (no saving to flash drives, unfortunately).
If you find an article in an EBSCO database that isn't available full-text, check the UC Davis catalog to see if they have it in print or online. The odds are good that it will be available.
UC Davis reference librarians know shortcuts to the best resources at UCD. You do not have to be a UCD student to ask them for help, so do it!