jquery - go to next table row based on class name from current row location?

Give nextAll a shot. Example from the documentation:

<!doctype html>
<html lang="en">
<head>
  <meta charset="utf-8">
  <title>nextAll demo</title>
  <style>
  div {
    width: 80px;
    height: 80px;
    background: #abc;
    border: 2px solid black;
    margin: 10px;
    float: left;
  }
  div.after {
    border-color: red;
  }
  </style>
  <script src="https://code.jquery.com/jquery-3.5.0.js"></script>
</head>
<body>
 
<div>first</div>
<div>sibling<div>child</div></div>
<div>sibling</div>
<div>sibling</div>
<script>
$( "div" ).first().nextAll().addClass( "after" );
</script>
 
</body>
</html>