Start the Mac Mini in Target mode. You'll need a keyboard, hold down the "t" key as it boots. 
Connect the mac mini to your MBP with a firewire cable.  
Boot the MBP and hold down the option key. 
Select the  macmini as the startup disk. You should be able to install and configure the mac mini. Then just shutdown and disconnect everything. then restart the mac mini on its own.

Make sure the mini is set to connect to your wireless. So when you boot the machine on its own it connects right away. Also be sure to enable remote desktop access.

This is how I setup my macmini recently.