The best replacement for shroud is hexproof.

The best alternatives to shroud are rated as following:
★★★★★  hexproof
★★★★  deathtouch
★★★★  hexproof magic
★★★★  stay
★★★  destroy all creatures
★★★  infect
★★  deathtouch mtg
★★  death touch
★★  no fan shroud
★★  day of judgement
★★  intimidate
★  no shroud
★  stainless steel shroud
★  wither
★  annihilator
  overtray

Your alternative for shroud is not listed? Suggest!
Speaking about shroud, one probably shouldn't forget about electric fan.

Other search terms related to shroud and their ratings are:
★★★★★ electric fan
★★ barrel
★★ slivers
★ apex
You have in mind a companion for shroud and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of shroud in all years. Click on graph for more.
shroud
hexproof
deathtouch