To the OP.
We will sometimes spray weed control and not fertilize but we never fertilize and not spray for weeds.
Prices usually don't differentiate between either/or. This is mostly due to convenience in billing and the fact that a single application of 1 or 2 products in a spray solution is not even going to come close to controlling all the varieties of weeds we have in our warm season turf.
Your annual program for this property is not a whole lot more than we would charge for a single application at a property this size, especially if there were many obstacles or "nooks and cranny's" as greendoctor has pointed out.
"The Poor Fish" circa 1930's: The Poor Fish wouldn't have been caught if he'd known enough to keep his fool mouth shut.
"Opportunity is missed by most because it is dressed in overalls and looks like work"- Thomas Edison, businessman/inventor