Is this c channel because you speak of ears at the end, almost sounds like shelving steel for pallet racks? If it is c channel what is the actual area you are crossing assuming some amount of steel is going onto ground on each side. One thing I would do imams I will try to paint a picture I would go out 1/3 distance from end and bring a leg back at a 45 deg angle back toward the banking on both ends so the weight from the top would deflect down and back towards the bank edge sort of like in post and beam houses beams come down at a 45 back into the carrying beam. Doing this on both ends will reduce flexing. Personally I would do this with I beams which are stronger. I would also bolt angle iron across bottom every two feet, as the top flexes down the bottom will twisting or out with weight. You need to build that really rugged for 1000 pounds IMO
Could be, it is a structural "C" channel salvaged from job site at some point in the past 60 years. I agree with your design, that it would be strong. I'm not worried about the strength of the channel if I build it with the 8" side vertical, which seems like I'll be doing, since I've not been able to convince myself that it is strong enough the other way.