I did aluminum casting in high school and making a mold wouldn’t be a problem size wise but you would probably have to have a furnace that would melt 15# or 20# of aluminum. Come to think about it by the time you gat the casting sand for a mold that big the $250 might not look so bad.
Do you have a source for the aluminum to melt? That’s a lot of beer cans. Your best bet might be to cast a rough piece and machine it on the Bridgeport.You could probably make a rough casting with play sand and then machine the shape you want.
Sand shouldn’t be all that bad. Green sand is basically 90% silica sand (playsand) and 10% finely ground kitty litter (clay), plus just enough water… Tons of youtube vids on how to make your own
Casting vessel (flask/cope/drag) can be made to size easily enough out of 2x4s in the wood shop.
I think that publius is on the right track. I would milled out the part. The personal kiln I have demo at the space I got for http://www.foundry101.com. Note it will only do app 4lbs of aluminum. They have a good description of how to cast if you need more details.