If these are people who have enough excess funds that the foodstamps are superfluous... well they shouldn’t be getting them. They should be for those who would be catastrophically without food if it weren’t for the stamps.
Hell our problems just keep growing. Here in Michigan they’re trying to figure out how to house and feed migrants who are without work due to crop failures.
The government has no way of knowing about your excess funds if you don't keep them in the bank. Many benefit seekers simply join the cash-only economy. They work for cash (if they work at all,) they pay with cash, and as result they can claim on all the paperwork that they are poor and have nothing to eat. In reality they could be pretty wealthy, considering that they don't pay taxes on their income - even if some of it, for some reason, happens to be legitimate. That's why that woman with stolen purse was carrying $1K in her wallet. It was her private bank, along with secret stashes in other places.
A better way to do this would be to reorganize benefits. If you are starving you need to be investigated before you are given anything. The investigation would look at your property, your car, your relatives, your health, available jobs, and so on. Often instead of benefits you'd get a job offer. That would be a bad job, poorly paying and dirty, but if you refuse you get nothing. Taxpayers already pay to "hungry" people to do nothing. We might just as well get the roads cleaned for that money. That's how benefits worked in old farming communities; everyone knew the applicant and his circumstances. Today bureaucrats who run the system do not know applicants, don't want to know them, and are not paid to think about that. They would be even punished if they start asking questions that are not in the form because eligibility criteria are spelled out in the law.