Should be fine running a tube. The few people I've asked about Deluxe Champs say that they're a super soft compound so they stick and handle really well. The downfall being that because they're soft compound they're good for about 4-5000 miles.
I LOVE how Deluxe Champions look. This is my bike with Firestones right after it was completed:
I HATED how they handled on the freeway's rain grooves. Ever seen those Lipizzan stallions? As they'll dance, their asses drift left or right of the direction they're headed. That's how my bike felt. Never had that experience before. And maybe it was exaggerated in my mind. But I replaced those tires with K-70s. They didn't look as cool, but I felt a lot better on the road.
I'm on my second rear tire in 2000 miles. I can't do burnouts (automatic), but since I don't have a front brake, the rear has a lot of work to do hauling my fat ass to a stop. Two things for sure, they LOVE highway rain grooves and so far, none of my three tires were round. Looks like 5 lbs of weights to balance them.
Don't know, but I've got the Firestone Deluxe on the rear on my hardtailed shovel. It does give a smooth ride, especially since I only have about 23psi in it. Really smoothes out the ride.
It does feel a bit less sturdy than a say new Dunlop or whatever. But then again it's not far from a bit more than half worn Dunlop on my Softail. So I'd recommend the Firestone for my part. Will at least replace it with another one again.
The 350, 400 etc. is the width of the tire in millimeters. Just devide that number by 25,4 and you'll get the width in inches.