Snippet to show shipping method on order weight. PluginHive Plugins : https://www.pluginhive.com/product-category/woocommerce-plugin/

functions.php

/**
 * Snippet to show shipping method on order weight
 * Created at : 2 December 2019
 * PluginHive Plugins : https://www.pluginhive.com/product-category/woocommerce-plugin/
 * Gist Link : https://gist.github.com/PluginHive/bc669f7d85124a18c457c0d27a00a229
**/

add_filter( 'woocommerce_package_rates', 'ph_show_shipping_method_on_order_weight', 10, 2 );

function ph_show_shipping_method_on_order_weight( $available_shipping_methods, $package ) {

	$order_weight_limit 		= 150; 		// Weight Limit

	// Services to hide
	$shipping_services_to_hide	= array(
		'wf_shipping_ups:13',
		'wf_shipping_ups:14',
		'wf_shipping_ups:01',
		'wf_shipping_ups:59',
		'wf_shipping_ups:03',
		'wf_shipping_ups:02',
		'wf_shipping_ups:12',
	);


	$order_weight = 0;

	foreach( WC()->cart->cart_contents as $key => $values ) {

		$product_weight	= $values[ 'data' ]->get_weight();
		$quantity 		= $values['quantity'];

		if($product_weight && $quantity) {
			$order_weight = $order_weight + ( $product_weight * $quantity );
		}
	}

	if($order_weight > $order_weight_limit) {
		
		foreach ( $shipping_services_to_hide as &$value ) {

			if( isset( $available_shipping_methods[$value] ) ) {
				unset( $available_shipping_methods[$value] );
			}
			
		}
	}

	return $available_shipping_methods;
}