*** Please make a FULL BACKUP of your database and website.***
I would also eventually need to request temporary access (WP-Admin and FTP) to your site. Preferably to a test site where the problem has been replicated if possible in order to be of better help and check if some configurations might need to be changed.
I would additionally need your permission to de- and re-activate Plugins and the Theme, and to change configurations on the site. This is also a reason the backup is really important. If you agree to this, please use the form fields I have enabled below to provide temporary access details (wp-admin and FTP).
I have set the next reply to private which means only you and I have access to it.
Hmm, I ended up using a mix of my original and the suggested JQuery. I set the date portion of the field with the shortcode, and the time using JQuery, and it all appears to save.
jQuery(window).bind("cred_form_ready", function() {
var dt = new Date();
var hour = dt.getHours();
var minute = dt.getMinutes();
$('select[name="wpcf-date-checked[hour]"]').val(hour);
$('select[name="wpcf-date-checked[minute]"]').val(minute);
});