I have $2500 and have to run through 1.25mill in bets before i can quit. House edge is 0.03748%

Im expected to lose $468.50 after completing all my hands.

How can i figure out an optimal bet amount to bet per hand in hopes of reaching a goal very close to losing $468.50?

Obviously $1 would be optimal, but that would take way too long to complete.

Im thinking the number is somewhere around $5-$20, but i cant figure out how to calculate such a thing.

Can anyone help?