Nonpublic schools and nonprofit agencies may participate in the school breakfast, lunch and other feeding programs provided in sections 10-215 to 10-215b under such regulations as may be promulgated by the State Board of Education in conformance with said sections and under the federal laws governing said programs, except that such schools, other than the endowed academies approved pursuant to section 10-34, and agencies shall not be eligible for the funding described in subdivision (2) of subsection (a) of section 10-215b.