I have not seen much publicity on the subject, but IIRC, the Republicans HAVE offered an alternative.
I’ll see if I can find out more about it.
I found it!
The House version, introduced by Rep. Tom Price, is H.R. 2300; http://thomas.loc.gov/cgi-bin/bdquery/D?d114:1:./temp/~bdCcpa:@@@L&summ2=m&|/home/LegislativeData.php|
The Senate version, introduced by Senator Cruz, is S. 647; http://thomas.loc.gov/cgi-bin/bdquery/z?d114:SN00647:@@@L&summ2=m&|/home/LegislativeData.php|
I have not read either of them.