Popproof Paper Bubbloon

I was inspired by the linked video in which the Mythbusters use dishwasher soap to contain methane and produce a column of bubbles.

I propose a balloon full of lift gas bubbles would be good in many respects. The problem with big balloons is that if they leak or pop they let out the lift gas and then fall. Generating bubbles to contain lift gas would be a good way to prevent calamitous loss of gas. Also a balloon full of helium soap bubbles could be made of waxed paper or plastic wrap that was not particularly airtight, and so cheap.

I think there a ways to generate soap bubbles that set and are then permanent. That might be good, or maybe too fussy - dishwashing liquid should suffice.