More than 5 dollars... whatever is reasonable given the fees of the time.
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ah, fees of the time....5 dollars....
Yeah this, if anything, is just going to spam the UTXO-set with more ''oh, well, turns out this is (basically) dust now'' outputs in a couple of years.
5$ now is 6393 sats. a 2 input 2 output taproot tx (211.5 vbyte) takes up all of that with a feerate of 30sats/vbyte. Accounting for itself as an input (57.5 vbytes), would gobble it up at 111 sats/vbyte. And this is the math for consuming every sat; losing 50% to fee's would suck more than enough.
Make the floor 100$, everything under 100$ is lightning viable anyway.
Users make their own floors...