my condolences on your recent lost.there are a few ways you can do this, as mentioned above you can take a heloc on your primary residence which will give you a second mortgage, first mortgage payment wont be impacted. you can do cash out refinance which will give you one mortgage and payment. it will pay the old mortgage and give you money in your pocket to pay for the rehab.or you can do a renovation refinance which is similar to cash out refinance but we would contractor involved  as part of the refinancing and they are paid through the loan

Cash flow is hard to come by and I have considered looking elsewhere in more affordable states.

Personally, I'd cash-out refinance into a 30 or 15 year loan.

I would like to purchase another property so I looked into a heloc and a cash out refinance and it looks like I would qualify for about 75000 max which would be enough to put a down payment on another property and rehab it, but I still haven’t paid myself back from the original property rehab.

I used to work in finance and we could get clients approved for a HELOC in less than 24 hours which will be much quicker than the cash out finance.

you could take $300K and purchase one property for cash. 

Not possible, 85% max LTV on a purchase or straight refi, 75% max LTV on a cash out refi.

There are a couple of companies out there that will let you do a cash out refinance with no income!

Hi to everyone,I would like to ask that ,my banks in my country (Greece) are unable to provide refinance options for the BRRRR method (Buy, Rehab, Rent, Refinance, Repeat), what alternative realistic strategies can I consider for implementing this investment approach?

Definitely a chunk of change I don't want to pay, but having my cash back out to do another deal might be worth it...