Apply for graduate schools as you would with a normal bachelor's degree. Unless the program has specific requirements for coursework or major, a Bachelor of Applied Arts and Sciences should not disadvantage an applicant in a graduate application process.
Research programs to make sure you meet all of the graduate school's requirements. Usually graduate schools have broad requirements and programs have additional requirements. If you don't meet all the requirements it is usually not worth applying without specific permission.
Take advantage of your diverse and unusual experience. As a BAAS you probably have real world experience that may pertain to the subject of graduate study you wish to pursue. Extracurricular experience is usually important to graduate admissions committees. Point out your ability to apply your skills to a diverse range of situations in your application essays.
Emphasize your letters of reference. Diverse recommendations can attest to your character and ability in ways that you can not. Choose your letter writers carefully; they must be people who know you well and can speak to your strengths.
Compile the best application you can, with the best necessary test scores, your transcripts, essays, letters and other supplementary material. Don't fret too much if you don't have as many academic accolades as other applicants with more traditional bachelor's degrees. Contact professors to ask whether your background will be a problem; knowing people in your potential department can be a huge boon to the application process.