In a desert atmosphere, with proper ventilation of the crawl space, engineered lumber is likely to be no problem. Be sure your vapor retarder has all joints lapped 6 inches and taped, and is taped to all walls and other penetrations.
A span of 18.5 feet is certainly possible, but I would consult with the composite joist manufacturers about joist stiffness. A joist of a certain size may be adequate to span that distance quite safely, yet still yield an annoyingly bouncy floor. You probably will have to use a deeper joist than structurally necessary, and perhaps with wider top and bottom chords, to achieve sufficient stiffness so that your floor will feel solid.
Definitely glue-nail the subfloor to the joists, and possibly consider a heavier subfloor to help dampen vibrations, such as a 3/4-inch subfloor and then a 1/2-inch underlayment.
Then, check the costs of this method against the cost of using a center girder of laminated veneer lumber, with perhaps one or two posts and the associated footings, and then using either sawn lumber for joists, or smaller composite joists (with the same adjustment for stiffness as the deeper clear-span joists). The increase in joist size will be smaller and less costly, and you may not need the extra floor underlayment.
Another possible adjustment for stiffness with either clear-span or half-span composite joists would be to place the joists on 12-inch centers rather than the customary 16-inch centers.
A good architect would do all of this investigation before selecting a structural system, and if you are designing your own addition, you should do no less. Engineered lumber manufacturers and your local lumber yard people will be happy to help you, as will we here, short of actually designing the system for you. Good luck.
Architect (NY) and Home Designer (PA)