Yay! I finally discovered how to make the ATTiny88 work. Very un-intuitive process.
It is NOT compatible with the Arduino Nano as claimed by most sellers.
This core can be installed using the boards manager. The boards manager URL is:
http://drazzy.com/package_drazzy.com_index.json
File->Preferences on a PC, or Arduino->Preferences on a Mac, enter the above URL in "Additional Boards Manager URLs
Tools -> Boards -> Boards Manager...
Select "ATTinyCore by Spence Konde" and click "Install".