Let's be clear just to which surname we're referring here - DRAKE or DRAKES?
There is no family of DRAKE recorded in the Visitation of Yorks in 1563-4 and there is no family of DRAKES recorded in the Visitation of Yorks 1665-6.
Do you gave a fully documented paternal genealogical pedigree going back to either of these two separate families? Without that documented link you can't establish any familial link.
The arms recorded for the DRAKES (1563) contain several (6) quarters, none of which refer to the arms mentioned in the 1665 Visitation. The arms recorded for DRAKE (1665) are fairly simple - a silver shield bearing a sitting red Wyvern. The specific record is also annotated as "No proofe made of these arms to belong to this family." The record that you refer to in the Visitation of Devonshire (1620) certainly has recorded the arms previously mentioned (Argent a Wyvern Gules).
You say, 'These ones are different.' - in what way are they different? To me they (Yorks 1665 & Devon 1620) appear to be exactly the same, although the Yorkshire ones weren't confirmed to that family recorded, only linked by a mention by the recorder of the pedigree.