Some Hanafis do rafa’yadan!
But who said you have to follow on school of thought! The only one to be followed alone is our Prophet Sallallaahualaihiwasallam صلى الله عليه وسلم
Read this excellent book that would explain everything:
There's nothing hindering you to do so. Especially as you came across that it is sunnah and if you are rather sure of its authenticity.
Be aware that even if the Hanafi maddhab doesn't follow this sunnah this doesn't mean that the Hanafi scholars have not discussed the hadith its authenticity and validity, so they certainly have reasons for not following ...