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What is the value of your property in Honolulu?
I would think that it would be extremely difficult for you to get a cash out refinance of your existing property for a couple of reasons:
1) you have very recent mortgage lates
2) you are planning to take funds out of a investment property for the purchase of a primary residence in another area. This sets the lender up for a "buy and bail" situation on your part which is a huge red flag.
What is a "buy and bail"? If you take the money out of your current rental property and then buy something else - and then stop making payments on the current property (either letting it foreclose or deed in lieu or short sale).
^^^That is probably not your plan, but that's what it will look like to the lender given the circumstances you posted as to your current financials. JMO.
Well then, with that valuation and the potential remaining equity after the cash out refi, that info might change the answer. You aren't going to risk the rest of your equity to dump the property on the bank after you do a cash out refi. You may still have an issue with the late pays on the mortgage. It is worth checking with a couple of lenders to see where you need to be score wise in order to do a cash out refi in your area. And how far away you need to be (in time) from the most recent mortgage late.
Any reason you're holding onto the house in HI? If possible, it might be a good idea to sell it, and use the proceeds to buy a new house in NV.