That’s how many (I would say all but I saw one shred yesterday that wasn’t - every shroud line was gone) parachutes made for high power rockets are made. Rocketman (not meant as an endorsement - just a reflection of my experience) makes their Mach One drogue chute with over the top shroud lines and Kevlar gores which is designed to survive high velocity deployments. The problem is that it is probably too large for this application. But I bet any of the chute makers would be willing to build a custom chute. Controlling deployment would also help. Giant Leap had a slider that fit on the shroud lines of their parachutes which keeps the chutes reefed initially and then slides down the shroud lines to allow the chute to open completely.I've spent some time thinking about what to use as the recovery arrangement for this rocket. Watching NHRA drag racing and seeing them using parachutes that deploy at 300 mph, I'm confident this rocket can be recovered safely.
I think I would try what I call an "over the top" parachute that utilizes 300# braided kevlar for the parachute lines and rip stop nylon for the chute material. The lines go up and over the rip stop nylon parachute and thus the chute will not be ripped away from the lines when the chute blossoms at high speed.
I did something similar on the 2nd flight of my F-79. On the first flight, using regular parachute lines that attach to the chute, the chute ripped away from the rocket and the rocket came in ballistic. The 2nd chute with the over the top lines didn't shred.
In regard to attaching the chute to the rocket, I would create a bulkhead and attach an eyebolt to that bulkhead in the 3D printed nose cone section, attach a swivel to the eyebolt and then attach the parachute to that swivel, again using 300# braided Kevlar. For the body tube / fin can sub assembly I would secure the recovery device using 300# braided Kevlar attached to the motor mount, and then attach an elastic shock chord to the Kevlar, then attaches that elastic shock chord to the parachute chords.
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Here's some photo's of the over the top chute I made using 100# Kevlar and a plastic chute.
Of course the other end of the issue is how to anchor such a chute so that it doesn’t rip the rocket apart when it deploys. Rear deployment like a drag racer would help. Incorporating a rear facing chute cannon inside the ring fin assembly, between the ring and the motor mount might be possible.