Why don't you rent directly from Israel with a prepaid voucher?
I use
www.alamo.co.il for all my US rentals and usually the fares I get including all coverages and taxes are lower than the best fares on alamo.com (not to mention Avis, Hertz etc). For ane extra 2 USD per day or 10 per week I also get a free tank of gas - some 30 USD value.