You can enter your expenses in the Education section. You will still be able to enter your expenses with out without a 1098-T form. When you have your return open, search for education and use the Jump to education link to be taken to the Education section. If the school is not required to send you a Form 1098-T, mark the box for the exception when you come to that question. You do not need the EIN number of the school to claim the Lifetime Learning Credit - it is only required for the American Opportunity Credit. Enter your $3000 under tuition expense when you get to that screen.
One of the advantages of the Lifetime Learning Credit is that you can take the credit every year for higher education, as long as you meet all of these qualifying requirements:
To be eligible for the tuition credits, including the : Lifetime Learning Credit, the course must be taken at "an eligible institution". The school should be able to tell you if it is an eligible educational institution. In general, an eligible educational institution is an accredited college, university, vocational school, or other postsecondary educational institution, including accredited, public, nonprofit, and proprietary (privately-owned, profit-making) postsecondary institutions. Additionally, in order to be an eligible educational institution, the school must be eligible to participate in a student aid program administered by the Department of Education. If they don't issue a 1098-T they are probably not an eligible institution.
Enter your school at the link below, to see if it's on the dept. of education list.