Given that it sounds like most of their economic and adminstrational infrastructure fell apart and was cheerfully appropriated by assorted opportunists (one would imagine monarchs in particular rather liked the idea of getting various castles and the attached fiefs under their control if possible) they would by and large have been left rather high and dry with just whatever connections and liquid assets they could salvage. Although given that the purge cannot have come as a complete surprise that may have been a fair lot.

And, of course, the military power represented by the brother-knights, sergeants and whoever. I'd imagine they wouldn't have needed to look too hard for someone who needed fighting men rather more than stupid questions or Papal and French good graces...