While I've not yet cycle-toured, we travel about 6 mo/year in our RV. We avoid KOA as we find them to usually be one of the most expensive campground options. We use an phone app "RV Camping.com" and it will list tons of campground options, using your current location or desired destination. Unless you're staying at a really nice campground, we've found their wifi usually is really slow so we have the Verizon MiFi device and it's been great anywhere we've been unless you're really out in the boonies. One camping option I rarely see mentioned is county fairgrounds. Most have camping areas and allow tents, and are generally pretty safe/secure. Also, recreation.gov website lists campgrounds that are managed by various government agencies. They are usually inexpensive, and while may not have all the luxuries of private campgrounds, many do have power and water at each site and bath/shower room. Good luck! Sounds like a great adventure!
Cool stuff - found a number of apps for camping (including the recreation.gov one) ...didn't see the specific "RV Camping.com" one but will keep looking (there are a virtual ton of them) ...and "power, water, bath/shower" ...that's just about everything i need (save for the security of the bike and laptops - but again, that's going to be difficult to avoid anywhere)