Forget renting a truck and get a minivan instead. You'll save a buttload of money and your stuff will be more secure.
Bonus for you is it could comfortably be slept in, if desired and it's somewhat under the radar.
On a recent trip to Denver, we used a price comparison service recommended on this site. I'm blanking on the name ATM, but I'll edit/add it when it comes to me. You go to their website, enter your info and they email you back with the best rates. It's only a reservation system, so you don't pay in advance, which is a bonus, especially if you need to make changes. (Hint: Don't use Kayak.)
The best rate offered was from National. I made a reservation for a mid-size sedan, then called National directly and joined their Emerald Aisle Club. It's free, and it allows you to choose your own car. When we got to Denver, all they had was minivans. I found a brand-new Dodge Grand Caravan that was fully loaded, including heated leather seats (!). It was a dream to drive and got nearly 25 mpg driving in the mountains, including crossing the Continental Divide. While we were choosing a vehicle, more cars were added to the selection. Every sedan was immediately snapped up by someone with a briefcase. We were so, so glad we took the minivan. Had we set out to rent one, it would have cost a fortune. I suppose that by arriving mid-morning on a weekday, we enhanced our chances of getting a minivan than arriving just before a weekend.
I loved my visit to the Land of the Long White Cloud and hope you enjoy your trip here. BTW, this is NOT a good time to travel to the Bay Area, especially the wine country. The fire devastation is terrible and 40k+ customers are still without one or more utilities. Next trIp.
I'll be back later with the missing info...
I'm back! The search engine is called AutoSlash.com. it saved us $200 over the best deal I could find, including taking public transit to an off-airport location. I don't do Priceline, because I refuse to stand in endless lines, and I like a little more control, especially when time is limited. AutoSlash and National's Emerald Aisle was a winning combination. Also, if you're going to haul bicycles, they're safer inside a minivan. Stop at a Harbor Freight or Home Depot and buy a dark colored tarp to cover them with so they're invisible to the casual observer. Hope you have a great trip.
BTW, you don't need a CC to reserve a car with AutoSlash, so if you can't book from NZ, PM me and I think I could make the res. for you from the US.