Most federal forest campgrounds will not have hookups. Federal park campgrounds will be more likely to have hookups, but will fill up months in advance.
COE campgrounds may have hookups, but your access pass won't work for them, so you'll have to pay the fee.
BLM lands can be free, but as you'll be boondocking (no developed campgrounds) there will be no hookups.
Private campgrounds and RV Parks are the most likely to have hookups, but you won't be able to use your access pass for them and prices can exceed $60/night in some places.
State parks may be your best bet under these conditions. They are more likely than federal forests to have hookups and their prices will often be less than private campgrounds. HOWEVER, like federal parks, they can fill up quickly. If you can't get early reservations, then you'll want to check frequently for cancellations and grab the reservation as soon as you find them.
Your biggest dilemma is not having solar/generator so you can bypass the hookup sites. Could you afford and/or have space to add a couple more batteries? If so, then you might be able to 2-5 nights with no hookups for 1 night with hookups - instead of paying $60/night every night, you would pay $0-$20 for the 2-5 nights without hookups and then $60 for the one night with (dropping your expenses by $80 to $300 every 3-6 days.
