(CNN) -

House Republicans are crafting their own plan to address the surge of immigrant children at the southern border that would be significantly less expensive than the $3.7 billion sought by President Barack Obama.

It would also add several policy changes to address the matter deemed a humanitarian crisis by many on Capitol Hill and the White House.

House Speaker John Boehner wouldn't give a specific dollar amount, but said after meeting Tuesday with rank-and-file Republicans that he expected to have an outline by the end of the week.

Pressed about various options being considered by Republicans, Boehner only said, "we've got lots of them."

Texas GOP Rep. Kay Granger and other members of a working group set up by Boehner outlined a set of policy changes at the meeting that are expected to be merged with a pared down funding bill.

The centerpiece would change a 2008 law that now allows children from Central America to remain in the United States until they get an immigration hearing. Children from Mexico and Canada can be deported without one and many argue current law acts as a magnet for kids from troubled countries like Guatemala and Honduras.

GOP Sen. John Cornyn and Democratic Rep Henry Cuellar, both from Texas, are expected to introduce a bill Tuesday to modify the law.

Asked about that bipartisan proposal House Majority Leader-elect Kevin McCarthy of California told reporters he believed it "will be an element of any package we do."

The working group also proposes to deploy the National Guard to the border. It also suggests bringing on retired judges to expand the now overloaded legal system and accelerate the process to return children to their home countries. It also wants to add new enforcement powers for border agencies.

Arizona GOP Rep Matt Salmon, a member of the border working group that visited Honduras and Guatemala over the weekend, said another key part of the GOP proposal would be financial assistance to countries dealing with large numbers of returning children.

"The numbers that are going to come at them - they're not prepared for that," Salmon said.

House Homeland Security Committee Chairman Michael McCaul of Texas said the working group members were meeting with Secretary of Homeland Security Jeh Johnson to discuss their ideas.

Several House Republicans told CNN there were no final decisions on how much money the GOP package would allocate as emergency spending, or whether they plan to make spending cuts elsewhere to "pay" for the new proposals.

But the legislation is expected to offer significantly less than the Obama administration requested.

House Appropriations Committee Chairman Hal Rogers said last week the administration wants "too much money" and noted that some of the funding to address the border situation is already included in annual spending bills, including the homeland security spending bill the House passed last month.

"The priorities that we're talking about - repatriating those children as quickly as possible - and where the President's is at - right now we're on different planets," Salmon said.

A major part of Obama's proposal would allocate $1.8 billion for the Department of Health and Human Services to provide care for the unaccompanied children who are housed in detention centers in the United States. But Salmon said "a lot of that money is redundant" because the GOP plan aims to repatriate children in 5-7 days.

Boehner said last week that he expects the House to vote on a border funding bill before the chamber leaves at the end of the month for its summer recess.

Senate Majority Leader Harry Reid has also indicated he wants to complete a measure by the end of the month.