Filter Modern Tribe's Events Calendar to show ticket prices from the WooCommerce Tickets add-on. Add this to your theme's functions.php, or put it in an mu-plugin.

gistfile1.php

function my_wootickets_tribe_get_cost( $cost, $postId, $withCurrencySymbol ) {
	if ( empty($cost) && class_exists('TribeWooTickets') ) {
  		// see if the event has tickets associated with it
		$wootickets = TribeWooTickets::get_instance();
		$ticket_ids = $wootickets->get_Tickets_ids( $postId );
		if ( empty($ticket_ids) ) {
			return '';
		}

		// see if any tickets remain, and what price range they have
		$max_price = 0;
		$min_price = 0;
		$sold_out = TRUE;
		foreach ( $ticket_ids as $ticket_id ) {
			$ticket = $wootickets->get_ticket($postId, $ticket_id);
			if ( $ticket->stock ) {
				$sold_out = FALSE;
				$price = $ticket->price;
				if ( $price > $max_price ) {
					$max_price = $price;
				}
				if ( empty($min_price) || $price < $min_price ) {
					$min_price = $price;
				}
			}
		}
		if ( $sold_out ) { // all of the tickets are sold out
			return __('Sold Out');
		}
		if ( empty($max_price) ) { // none of the tickets costs anything
			return __('Free');
		}

		// make a string showing the price (or range, if applicable)
		$currency = tribe_get_option( 'defaultCurrencySymbol', '$' );
		if ( empty($min_price) || $min_price == $max_price ) {
			return $currency . $max_price;
		}
		return $currency . $min_price . ' - ' . $currency . $max_price;
	}
	return $cost; // return the default, if nothing above returned
}
add_filter( 'tribe_get_cost', 'my_wootickets_tribe_get_cost', 10, 3 );

This doesn't seem to be working with TEC v4.0.x - either standard $cost is returned (as per line 41) or adding global $cost causes the condition on line 27 to be true resulting in 'Sold Out' being returned. I think the problem may be with the foreach loop not working after certain functions/classes have been deprecated in TEC v4+ & I haven't yet discovered what else needs to change other than 'TribeWooTickets' being deprecated in favour of 'Tribe__Events__Tickets__Woo__Main'
I also tried adding the 'out of stock' condition to include unlimited stock tickets, but so far no joy: if ( $ticket->stock || Tribe__Tickets__Ticket_Object::UNLIMITED_STOCK === $ticket->stock() )

Will let you know if I discover more...