This answer is for Drupal 7...
The quick and dirty way would be to use a Global: Text area
. With the PHP text filter enabled, you can input the PHP code necessary to render your block.
$block = block_load( $module, $delta); // if you defined the block via UI, then go to the configuration page for the block. The configure URL follows the structure: block/manage/MODULE/DELTA/configure
$output = drupal_render(_block_get_renderable_array(_block_render_blocks(array($block))));
print $output;
See block_load() and _block_get_renderable_array().
The PHP Filter is explained here: https://www.drupal.org/node/1046700
Here's a really long conversation of people struggling to just try to render a block by hand: https://www.drupal.org/node/1034524
Optimally I'd be able to point you to a module, but I can't find one.