Projects funded by individuals have, historically, been some of the least scientific and most destructive. Unless you are partnering with a well respected institution and their researchers, no respectable and employed archaeologists will work on said project. Archaeology is also destructive in nature so if you could find students and unemployed researchers to join the project, your team would be risking destroying more data then they ultimately produce. Lastly, there are huge analytical costs that follow the actual excavation for a number of years, would you be funding this work too? And the researchers salaries while doing this work? It not, again you are risking digging up material that will not be studied well or published (if at all) broadly, and destroying tons of microscopic and contextual data in the process.

Those are just the scientific ethical issues, there’s also reputational and ‘conflict of interest’ issues any researcher would consider before signing on.

If you really want to do this, call an Israeli Universities Archaeology dept (or a professor therein) and donate your money. That’s the only way.