Rep. Jim Jordan (R-OH) has introduced H.R. 408, the Spending Reduction Act of 2011, which would eliminate the National Endowment for the Humanities. Senator Jim DeMint (R-SC) has introduced similar legislation (S. 178) in the Senate.
The National Humanities Alliance has posted two items about this issue: "Republican Study Committee Leaders Unveil Spending Reduction Act of 2011" and, on the DuraSpace Blog, "Proposal to Eliminate the National Endowment for the Humanities in U.S. Congress."
You can use the NHA's Legislative Action Center Contact Form to send messages to your Congressional representatives. The form includes suggested bullet points that you can include in your message.