I've plumbed two race cars exclusively in -3AN braided SS hose. One was an IMSA class winning road racer, the other is a still yet to be driven quasi Pro-Mod drag car. It is fast and easy to do. Its not the least expensive option. If you stay with AN flares (buy the correct tool) all of the way thru the system then there really isn't much difference in the install time though the steel tubing will be slower. According to the driver that IMSA car's brakes worked very nicely and were easy to modulate. I would contend that full SS braid is still less flexy than OE rubber hoses and steel tubes. Probably not by a lot, but perhaps noticeable.
Was it me and regardless of budget, I'd use steel tube for the non-flex sections, convert to AN flares at the M/C and calipers/wheel cyls, and use nothing but AN flares at all of the junctions in between. Use steel fittings, tube nuts, & sleaves. Make the transitions from tube to flex with a bulkhead union poked thru a tab welded to the chassis. You'd need to do this with full flex line anyway.
You will need a proportioning valve (possibly in the front system) unless you spend some time dialing in the system by testing and changing the rear wheel cyl size and reducing the caliper piston area to a minimum. Even then I'm not sure that you could get there. Drag cars can have too much front brake. They almost can't have too much rear brake.