Double right arrowhead?

[Ivan Panchenko via Unicode]

People sometimes use two greater-than signs or a right-hand guillemet
to point to the right, e.g., in “Continue reading >>” or preceding a
text as part of a link. I wonder which Unicode character(s) would be
appropriate for this. There is U+02C3 (“˃”, modifier letter right
arrowhead), but it is a modifier letter (see also U+08FC (arabic
double right arrowhead above with dot) for comparison). Simply U+27A4
(“➤”, black rightwards arrowhead), whose contour consists of two
>-like shapes? Or should a new character be proposed?