Use it describing the way someone rode something. "But Tait had none of Tillotson's gentleness, and he rode roughshod over the obstacles in his way." (That sentence is from yourdictionary.com by the way :) )
Since 'next' is a time-order word, you need another.
'Then' is a time-order word. You are not stating a 'fact', nothing happened abruptly, or 'suddenly', and you aren't comparing anything, 'similarly'.
Elie Was 13 when he got to knoe moshe the beadke