I would make it illegal and unenforceable for BI to be used as collateral for any financial transactions. Much in the same way that your IRA cannot be used to secure a loan [1], I would prohibit BI funds from being used to secure loans in any way.
[1] IRS Publication 590, "Prohibited Transactions", https://www.irs.gov/pub/irs-pdf/p590a.pdf
On the other hand, being able to 'sign over' a portion of one's basic income might open up all sorts of other abuses. (e.g. some sort of payday loan company that says, sign over your Basic Income for a year and I'll give you a lump sum right now...)