Hello.

You can make customization, to have in the content of the post or page some "dummy" shortcode for the search form and to have the booking form shortcode, in a place as its now.

If you want to make this customization, please follow this instruction:

Please make backup of all these files, before your modification, so in case if you will make some mistake, you can rollback.

1) Please open the ../{Booking Calendar Folder}/inc/_bl/biz_l.php file.

Find this function declaration: function regenerate_booking_search_cache(){

then inside of the content of that function find this code:
$sql = "SELECT ID, post_title, guid, post_content, post_excerpt FROM {$wpdb->posts} WHERE post_status = 'publish' AND ( post_type != 'revision' ) AND post_content LIKE '%[booking %'";
and replace it to this code:
$sql = "SELECT ID, post_title, guid, post_content, post_excerpt FROM {$wpdb->posts} WHERE post_status = 'publish' AND ( post_type != 'revision' ) AND post_content LIKE '%[bookingtemp %'";

then find this code:
$shortcode_start = strpos($value->post_content, '[booking '); $shortcode_end = strpos($value->post_content, ']',$shortcode_start); $shortcode_content = substr($value->post_content, $shortcode_start+9, $shortcode_end - $shortcode_start-9);
and replace it to this code:
$shortcode_start = strpos($value->post_content, '[bookingtemp '); $shortcode_end = strpos($value->post_content, ']',$shortcode_start); $shortcode_content = substr($value->post_content, $shortcode_start+13, $shortcode_end - $shortcode_start-13);

2) Now open some of your posts, and insert the booking form into the content of this post.

Let say you are having Booking Calendar shortcode, like this:

[booking type=4 form_type='standard' nummonths=1]

Its means that in the content of the post or page you need to insert this code:

<div style="display:none;">[bookingtemp type=4 form_type='standard' nummonths=1]</div>

And update the post.

this shortcode will not be visible for the users, and only will be as markup about the shortcode of booking form that relative to this post.

3) Please open the Booking > Settings > Search page and click and the "Clear cache" button, you have to see that there is found 1 item.

4) Please make test of search at the client side of your site.

Kind Regards.