Both Sides Forming Impeachment Arguments

The Senate faces the dual task of confirming Biden's cabinet picks and handling Trump's impeachment. House Democrats accuse Trump of endangering Congress by inciting a mob, while Trump's defense argues the trial is unconstitutional and protected by the First Amendment. Some Congress members suggest censure instead. Senate Majority Leader Schumer insists on the necessity of impeachment and conviction.

What actions have some Congress members suggested instead of impeachment?

What does Schumer hope regarding the President's trial?