It is difficult for you to enter the university without taking the college entrance examination. I suggest you apply for the preparatory course of the school first, and you can go to junior college after one year of examination. All my friends in technical secondary schools get their diplomas in this way, and then they get scientific research qualifications.
It's just a tortuous road. Good luck.
As for which school, it depends on where you come from, whether you want to go to a local school or a foreign country. I come from Shandong, and I only know several schools in Shandong (Rushan Stomatological University, Binzhou Medical College, Zibo Wanjie Medical College, Heze Medical College = =).