Pauper Commander is a thing, not as popular as normal as far as I know though. Though that's even more restrictive than what you're asking, as the only thing allowed to be Uncommon is the Commander, everything else must be Common.
Her abilities actually work together really well. There are a significant number of cards that cause opponents to lose life and you to gain life when things die. Admittedly, most of those cards are Uncommon or higher, so aside from
Falkenrath Noble and
Deathgreeter you'd not be able to play them in proper Pauper rules.
I put together a rough Pauper Commander Dina deck to give you an idea on how you could work her.
https://deckstats.net/decks/168446/2019204-pauper-dinaBasically the idea here is to gain small amounts of life repeatedly and rapidly. There's also a few relatively large creatures for her to eat if you need the power, but most of them are "gain life when this/other things die" effects.
Fangren Marauder is probably one of the few big creatures you won't ever want to feed to her as it turns Treasures into little bombs while the two Dauthi creatures and a
Goldvein Pick will keep you in good supply.