Thanks Elise, but seems like what you posted above seemed to work.

For anyone else who might stumble into this issue:

Instructions to Achieve URL Pattern:
yourwebsite.com/projects/your-project-name
yourwebsite.com/blog/your-blog-title

1. Go to Settings > Permalink
-Select custom structure and use this value:
/blog/%postname%/

2.) Go to Theme Settings > Portfolio
-Project Portfolio URL Slug:
projects

-Project Portfolio URL Slug:
projects

(Remember to hit save!)

3.) Find this theme file:
wp-content/plugins/basel-post-types/basel-post-types.php

Find: ‘rewrite’ => array(‘slug’ => $portfolio_slug),
Replace With: ‘rewrite’ => array(‘slug’ => $portfolio_slug,’with_front’ => false),

(There were multiple instances of this find and replace – I believe it occurred twice)
(You might see the second occurance at Line 524)

4.) Double check to make sure you saved your Permalinks and Theme Settings!