You could customize the code for Table Rate by adding the code in RED to the file:
/includes/modules/shipping/table.php
Code:
// disable only when entire cart is free shipping
if (zen_get_shipping_enabled($this->code)) {
$this->enabled = ((MODULE_SHIPPING_TABLE_STATUS == 'True') ? true : false);
}
// bof: disable when under $2000.00
if (!IS_ADMIN_FLAG) {
$chk_total_less_free_shipping = $_SESSION['cart']->show_total() - $_SESSION['cart']->free_shipping_prices();
// echo 'Table sees Total: ' . $chk_total_less_free_shipping . '<br>';
if ($chk_total_less_free_shipping < 2000.00) {
$this->enabled = false;
}
}
// eof: disable when under $2000.00
if ($this->enabled) {
// check MODULE_SHIPPING_TABLE_HANDLING_METHOD is in
Then, reverse the logic for your other shipping modules to disable them when $chk_total_less_free_shipping >= 2000 ...