I think most of the schools  do approve CPT from the first day of school but it has some deadlines you need to consider, and for that you have to contact the school you are trying to go. But CPT mainly depends upon the "offer letter" you receive from the company, which is almost similar to applying for job and getting offer from them (most difficult part at this time)........ Once you have the offer letter, you have to fill out all the necessary forms to apply for internship and along with your offer letter you have to get it  approved by the college  (maybe International office and/or Registrar's office and/or your Department)...... all these things you have to do before the deadline........ once your internship is approved, you'll receive a new I20 which states your CPT date from the first day of the semester till the last day of semester..... again each college have their own rules, some of them dont' allow 40 hours while you are studying full time while others do because if its full time CPT you might be most probably working 9-5 monday to friday and you can't go to school for your classes unless you are taking evening classes...... and i don't think any college will allow international student to be full time status only by CPT, if you have only 3 or 6 credit hours to graduate you might be approved and can even replace them with your CPT credits...... if you have more questions you can shoot me an email  but i can't directly help you find the school. you got to do on your own, i can give you idea on finding those schools near your area....... good luck