Okay a lottery with a house edge greater than 1% and a progressive jackpot would be cool. That would cause the jackpot to grow.
How about if we just let players make multiple bets at the same time?
For example, put 99% of their stake at 49.5%, and the other 1% at 0.0001%. The payout on the 49.5% part will be only slightly lower than normal, but there's a tiny chance of them 'hitting the jackpot'.
We don't need a separate jackpot pool, it's a regular bet, with a regular 1% house edge, and so the investors will bankroll it just like they bankroll every other bet.
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(assumed that you find a way to implement this without cluttering up the beautiful, simple just-dice user interface)