Sounds like a fine trip to me. We're leaving Ohio in June, heading west by NW; S. Dakota, Wyoming, Montana, Washington, Oregon. We're retired so I don't even consider time. Finances? We probably have the 5 grand you mentioned but I seriously doubt that it will cost us that much; even staying in Hotels every night as we do NOT camp anymore. Personally, as far as California goes; I won't go any further south than Redding. There ain't a damn thing in Oakland, San Fran, or LA that I need to see. We'll be heading back east across Nevada and Utah. south into Arizona, east to N. Mexico, NE to Colorado, SE thru Missouri to Arkansas, Mississippi, Natchez Highway and then back NE towards home.
FYI, from Ohio it's 3 days plus going easy to Sturgis, S. Dakota. It's over 1300 miles and while 400 miles a day isn't out of the question, why do it if ya don't have to do it. Just enjoy the journey, giving yourself time there and back without pushing it. Where you are from it should be a breeze.
Peace