My thoughts are that price is what keeps aluminum from being used more than it is. Pound for pound, aluminum is twice as strong as steel but about triple or more in cost from what I have seen. I looked at putting some aluminum deck boards on my patio which is 12 x44 feet in size and the deck boards were going to cost about $6000 and that didnt include any sub-framing cost. If I remember correctly ( not too likely at my age) the wooden boards cost about $600 so I would have to replace the boards 10 times to break even and since it is covered deck, I doubt that I will ever have to replace the boards so that was a no-brainer for me.
As for your trailer, I would think that any structural steel supplier could order the material for you if you got your design down. Personally I would copy the design of one of the 18 wheel trailers (just scale it down) using double I beams down the middle and then gusset to the outside rail. Aluminum extrusions are available in similar shapes as structural steel. You would need to compare the strengths to steel for correct sizing to avoid overbuilding and thus over pricing the trailer. I dont think there is any gread fabrication skills beyond what is needed for steel in comparing to aluminum. A good Aluminum wire machine would make welding easy. I do think cost is going to blow your mind when you get pricing though. I just bought a 20 foot steel car hauler for $3K and a friend of mine has had an aluminum one for several year that he paid $6500 for the same size.
I cant believe you would spend that much difference in a life time blasting and painting a steel trailer. Weight wise you would be saving on gas mileage pulling it when empty but not too much when loaded, so depending on your amount of usage, it may never reach the break even point.
You may find that after pricing the components, you can buy one cheaper than you can build it yourself. Trailer mfgs. get price breaks for ordering in bulk which you wont get. For a good example of that, I recently purchased an above ground certified storm shelter that I thought was priced a bit high and wasnt more thatn a 4x 6 x6.5 steel box. I thought I could build it myself and save especially since my brother in law wanted one also. The design was available online so I went to a local steel supplier to price the raw components. It would cost me almost as much to buy the steel (then have to blast and paint and install) as buy it already built, painted and them installing it. Needless to say, I bought it from the manufacturer.
You may also consider looking around for used dump trailers, they come up on Craigslist occasionally although not in the small size your are suggesting. Not only will you be pricing aluminum material for the bead, but you will need hydraulic pumps and cylinders and the mechanical linkages to make it all work which is not an inconsiderable amount of money in itself.
I am not trying to discourage your build in anyway and I applaude those here that tackle the homemade contraptions that they come up with, but I seldom find that i can build from scratch as cheap as I can buy it. SOME LUCKY folks seem to find all kinds of free material to build stuff out of, but I cant even find free manure.