do you accept checks or mastercard?

Not sure about checks they used to only take debit cards. Now they take debit and credit, I'm not sure about checks.

https://www.aldi.us/en/about-aldi/faqs/method-of-payment-gift-cards/

Credit and debit cards only or cash

No checks , just cash, credit, or debit... To the best of my knowledge.

Credit cards for sure

Yes they take checks!

Yes

Local and yes

I know they accept visa or MasterCard