Jeri, the gambler.

Jeri, the gambler enters the battlefield with X +1/+1 counters on it.
{2}{t}, put a +1/+1 counter on Jeri, the gambler.
Each time a card required you to shuffle your deck, instead, shuffle your deck and draw the top X cards, where X is the amount of +1/+1 counters on Jeri, the gambler.