Add custom recurring events to The Events Calendar

We have events that are recurring (either daily, weekly, monthly, or yearly). We’ve made our own plugin that calls filters contained in The Events Calendar plugin.

For example:
add_filter('tribe_events_get_current_month_day', 'getRecurringEventsForMonthDay');

In that function, we do a query for events that are recurring. After the query we will do some logic to see if the event is recurring on the date requested. Here’s the query:

SELECT posts.*, metaStartDate.meta_value as EventStartDate, meta.meta_value as EventRepeats, metaTimeSpans.meta_value as EventTimeRanges
FROM $wpdb->posts posts
LEFT JOIN $wpdb->postmeta meta ON (posts.ID = meta.post_id AND meta.meta_key = '_EventRepeats')
LEFT JOIN $wpdb->postmeta metaStartDate ON (posts.ID = metaStartDate.post_id AND metaStartDate.meta_key = '_EventStartDate')
LEFT JOIN $wpdb->postmeta metaRepeatsUntil ON (posts.ID = metaRepeatsUntil.post_id AND metaRepeatsUntil.meta_key = '_EventRepeatsUntil')
LEFT JOIN $wpdb->postmeta metaTimeSpans ON (posts.ID = metaTimeSpans.post_id AND metaTimeSpans.meta_key = '_EventTimeRanges')
WHERE posts.post_type = 'tribe_events'
AND posts.post_status = 'publish'
AND meta.meta_value != 'once'
AND '$queryDate 00:00:00' BETWEEN metaStartDate.meta_value AND metaRepeatsUntil.meta_value

Is there a way to rewrite that so it can be added to the WP_Query object The Events Calendar plugin is using? Simply adding posts to the array doesn’t work because things like have_posts() and the_post() just don’t work.

Any thoughts of how to do this without touching The Events Calendar source?