Can Rumble Hothead's conquer trigger be activated when there are no mechs in the graveyard, with the intention of ordering Zaun Warrens' trigger first to discard a mech from hand, then targeting that mech with Rumble's effect on resolution?
Answered under Unleashed Rules FAQ and Clarifications
Assuming Rumble Hothead’s conquer ability is a normal triggered ability that does not itself require a Mech to be present as part of its triggering condition, you may put that trigger on the chain even if there are currently no Mechs in your Trash. If you control both triggers (the battlefield conquer and Rumble Hothead’s conquer trigger), you can order to resolve first so it discards a Mech from hand to Trash, and then finalize/resolve Rumble Hothead’s trigger targeting that newly-trashed Mech—provided the trigger’s legal target is chosen/finalized after resolves and is legal at finalization. See assumptions below.



