The amendment process is limited in reconciliation. Any thing that costs money has to be fully offset. Which will make this difficult to do.
Hence "token" amendments. They won't be anything substantive, they'll just be something the Senators can point to that allows them to vote yes w/ some semblance of political cover.
I really, really hope I'm wrong, but nothing this Republican Congress has done since Trump is in office makes me think all of this isn't just posturing. The House bill was completely dead after they pulled the vote and a month later they squeaked it through by sheer force of duty to party.