Add Woocommerce Temporary product

This is solved! Here is what I did just in case someone needs help with this in the future.

First I made a page with a form. Action is whichever the page will live in and method is post.

<form method="post" action="/order-page">

    <label for="tc_name" title="Full Name">Full Name</label>
    <input type="text" name="tc_name"/>

    <label for="tc_title" title="Product Name">Product Name</label>
    <input type="text" name="tc_title">

    <label for="tc_description" title="Product Description">Product Description</label>
    <textarea name="tc_description"></textarea>

    <label for="tc_price" title="Price">Price</label>
    <input type="number" name="tc_price"/>

    <input type="submit" value="Submit"/>
</form>

Then on the next page, I grabbed the values, created the product based on the values given, and then added a shortcode to display the cart button.

if('POST' == $_SERVER['REQUEST_METHOD'] && !empty($_POST['tc_price'])) {

    //grab the values
    $pName = $_POST["tc_name"];
    $pDescription = $_POST["tc_description"];
    $pPrice = $_POST["tc_price"];
    $post_title = $_POST["tc_title"];

    //add them in an array
    $post = array(
        'post_author' => $pName,
        'post_content' => $pDescription,
        'post_status' => "publish",
        'post_title' => $post_title,
        'post_type' => "product",
    );
    //create product
    $product_id = wp_insert_post( $post, __('Cannot create product', 'bones') );

    //type of product
    wp_set_object_terms($product_id, 'simple', 'product_type');

    //add price to the product, this is where you can add some descriptions such as sku's and measurements
    update_post_meta( $product_id, '_regular_price', $pPrice );
    update_post_meta( $product_id, '_sale_price', $pPrice );
    update_post_meta( $product_id, '_price', $pPrice );

    //get woocommerce shortcode for add to cart
    $myButton = do_shortcode('[add_to_cart id="' . $product_id . '"]');

    //display product
    echo $myButton;
}

and then lastly, once an order is completed, delete the product by hooking an action to woocommerce_thankyou. I put it in the functions.

function mysite_completed($order_id) {
    //get order ID
    $order = new WC_Order( $order_id );

    //grab items from the order id
    $items = $order->get_items();

    //loop thru all products in the order section and get product ID 
    foreach ( $items as $item ) {
        $product_id = $item['product_id'];

        //choose whatever suites you, trash the product is what I picked

        //permanently deletes product
        //wp_delete_post($product_id);

        //trashes post
        wp_trash_post($product_id);
    }
}