Why don't you use the university to reduce your Asian accent, since you are in the linguistics department.
Take these courses, if any.
1. Articulatory phonetics course (not English phonetics) Or master JC Catford's practical phonetics. Usually, your course instructor will help you master your vocal apparatus
2. Once you master 1), study relevant English phonetics and phonology books.
3. Learn about the great vowel shift.
4. Learn stress patterns and think about these problems: how native speakers predict the stress of unknown/foreign word; how they anglicize foreign words; how stress affects the vowel quality; and so on
5. Find a course in your university, which deals with intonation. Here, you should gain some understanding of various phenomena: chunking; broad and narrow focus; or 3 T's of John Wells, since you want to master RP.
6. Even if you don't have an instructor to pursue (1) through (5), you can study on your own, since you are a linguistics student. If you can afford, find someone who trains actors. You can find them on vastavox. Or check with the theater/drama department in your university;they usually have a couple of faculty members, who know the stuff.
7. If you get an opportunity, always take one-on-one lessons. Also observe cheeks, teeth, lips,etc, of native speakers.
8. If you can find a coach, who mastered Mandarin with a native-like accent, that's the best cure you can ever find. Or you can do that exercise by yourself: check how your countrymen map graphemes to sounds (orthography) and compare with native speakers mapping. This process is systematic. Most if not all L2 speakers have the list mentality; that is, compile a list of proper pronunciations of mispronounced words. This list mentality may help to an extent; after a while, it stunts the learning process. You need to study it systematically, not list-wise.