Here's your solution James...
Fortify your main base with cannons to the north and south..and sparesly elsewhere.  Get a starport in and start working on air, because tanks will be coming very soon.  I went carriers as they tend to work well vs. computers.  When you have 4-5 carriers take out the base to the far left..and start mining that.  Expand next to the base on the bottom right, then take out white.  Now you have 4 bases, and should have enough minerals to build a sizeable army.  I had 20 carriers, 4 arbitors, and 6 reavers as my attack force.  Oh yea..have 1 reaver at each entrance of your base (top and btm) and make sure you build scarabs often.  I would also recommend lots of shield batteries.  On bnet they're never useful, but here you'll want them to extend the life of your carriers.  I also saved often, going back if I made a mistake.  Losing 2 carriers is a big deal when you're short on cash, so save often and reload if you mess up.  Gas shouldn't be a problem, as you can see in the screen shots.
Here's the bottom of my main base.  Notice 2 cybernetic cores to upgrade air fast.  3 Shield batteries and reavers/carriers defending.
Here's the top side.  Defilers like to plague, just keep the reaver around to kill em before they can cast it..Overlords will also come in this way from the Northwest, cannons prevent them from dropping in on you.
Other Bases...
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