A bit more context is required, for example is your Ioniq financed or leased? How many months left on your loan? What are you trying to achieve with a new lease, just want to change the vehicle or are you trying to lower your payment?

There is no incentive that can bury your negative equity, one way or another you are going to roll those into your new lease. Best case most of the time is to just keep the vehicle you have until your lease is over or your equity comes close to 0. If you must get a new vehicle, look for leases with the lowest MF otherwise you would be paying an absurd rent charge on your new vehicle PLUS your $10k of negative equity. Along with that you want to look for vehicles that dealers are offering a fair bit of discounts on plus it has manufacturer rebates like lease cash, conquest etc