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The spare is a 17" steel wheel but it is a tight fit and would have to be the perfect offset. I think any aluminum wheel would need to be an 18" for clearance of brake/suspension parts.
I think you would be OK with most 17" wheels. Ford used 17's as original equipment on even the pre-2018 Raptor. I would stick to an offset that is very close to stock for a number of reasons.
If you are purchasing them locally, and if they are in stock, most tire stores will remove one of your front wheels and check the brake clearance of a replacement wheel.
Going to an 18" wheel would be an absolutely sure thing and there would be factory wheels that you could use, which I believe would be far better quality than many aftermarket wheels in terms of corrosion proofing, etc. (You might be able to find a set of takeoffs from an XLT locally or on Ebay.)
But if you want smaller wheels, OEM wheels are out there.
Not sure about Texas and don't know your city (just pulled Houston out of thin air(.
Take offs at a dealer would be a fortune, as they charge pretty much full retail from what I was able to find out through my Ford dealer and seeing listings for them on CL and elsewhere.
Rezvani's Latest Post-Apocalyptic Monster Is a Ford F-150 Raptor Underneath
Slideshow: Called the Fortress, the 850-horsepower pickup combines Raptor underpinnings with military-inspired features, survival equipment, and a starting price of $285,000.