Using Expensify Card with dual-bank-account structure

Our company has a dual bank account structure. We have a Collections and Disbursements account, and each night, the bank performs a "sweep" that effectively sets the Disbursements account balance to zero.
Unfortunately, the "Company Limit" for Expensify Cards is based on the balance of the linked account (in this case, the Disbursements account with a zero-dollar balance). That means my Expensify Card Company Limit is very low because Expensify doesn't account for the fact that we keep our cash balance in a separate account.
This is incredibly disappointing. We are interested in adopting the Expensify Card, but cannot do so because Expensify won't provide us with an adequate Company Limit.
EXPENSIFY - PLEASE ADDRESS THIS!
Answers
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@jwilliams I see that you have reached out to [email protected]. As this is very individual, we will be happy to discuss your options there.