I bought this 02 E350 extended van this summer in Los Angeles to do the same thing - haul bikes. It had been previously owned by a forklift repair company. I was cautious because it had 175k miles and had clearly been a shop truck, but it passed smog, rode reasonably well and was only $2,300. I spent about a week degreasing the interior - it was pretty thick but no rust.
I was surprised to discover it had the 6.8L V10 (the seller thought it had a V8), but the mileage is acceptable for a motohauler that isn't a daily driver. It pulls grades easily, even when loaded.
The tires were questionable so I put a new set on, along with the wheels. I found a passenger van getting parted out and snagged a rear bench seat and some odds-n-ends. Also found a cheap used receiver hitch. Now I can carry three bikes (four with a hitch hauler) and 3-4 people pretty comfortably.
I never intended to drive it so much, but now its got 187k miles and just got back from a trouble-free trip to Baja Sur. It's great to have all the bikes, tools, etc. locked up, dry and out of sight when traveling.
The Chevy's do ride nicer but I couldn't find one used for the money I wanted to spend. That said, I'd buy another Ford for sure.