The problem on 6 April is that it is Easter Monday, when demand will be high. Whether £65/US$82 (as most trains are currently) is high is a moot point.
You can travel on the Ouigo Classique train to Brussels then on the Euro City Direct from Brussels but that is a self connection, so leaving an hour between trains would be prudent.
The timings are- Depart Paris Gare du Nord 08:18, change at Brussels Midi (arrive 11:21, depart 12:49), arrive Amsterdam Zuid 14:56.; or Depart Paris Gare du Nord 12:28 daily, change at Brussels Midi (arrive 15:21, depart 16:49), arrive Amsterdam Zuid 18:56.
So there is a cost versus time equation to also consider.
Book the Ouigo on at www.sncf-connect.com and the ECD at at www.nsinternational.com or www.b-europe.com/en
Fares on the Ouigo (not the same as Ouigo TGV in France, these are classic loco hauled coaches) are dynamic but on the ECD can be bought on the day.
Likewise Amsterdam to Antwerp travel on the Euro City direct trains
Antwerp to Paris- either use the ECD/Ouigo classique trains as above, or use the even slower route on Belgian local trains Antwerp to Charleroi, Charleroi to Jeumont, Jeumont to Maubeuge, France (hourly) then a French TER from Maubeuge to Paris Nord every 2 to 4 hours.
Those are all fixed fares, buy on the day, but it is unlikely to work out cheaper than the ECD/Ouigo route and a lot slower.
There are all sorts of other routes through Belgium to reach France at either Lille or Dunkerque (then French trains to Paris), but they all take a long time, and are not likely to be any cheaper.