Hey there! Welcome to the DIY Screen Forum and a reality check!
Below $250.00? I suggest you use the side of a Barn then. Either the Lumber or "Steel" Metal Framework and Cordage will eat up over 60% of that budget, before material, Grommets, Bungee Cord Clips.
Constructing a 17' high x 16' wide Frame that can support both the required Tension, the weight of the Material itself, and the stresses imparted by Wind is not an easy task, nor one that can be hedged upon as far as it's design and structural rigidity..
Off the Cuff....I'd suggest a Wood Post, Metal (Aluminum) Cross Bar- w/Vertical Center Supports.
has a complete 16' x 9' Free Standing "KIT" for $289.00 (...less Tubing...)
Review the cost of the individual components, sans any framing structure, and you'll see why I used the term "reality check".
One suggestion though....if you use a slightly stretchable material like the Flexi-White
on Carl's Site, it's degree of tension (...the lack needed...) required to get a wrinkle-free surface will allow for the use of a less massively rigid frame. Also, they can install Grommets for you. Simply put, the ability to "easily"
put up / take down the screen material will make the whole project either a joy or a royal PITA.
You don't state what PJ you plan / hope to employ, but be advised that the type material you chose will go far toward dictating how much lumen output you'll need. Even in the dead of night. The suggested Flexi-White has a significant increase in Gain from Black Out Cloth, and will have a much better image than any common Tarpaulin material. Of course, if you already have that Tarp, and it's in your mind to build what amounts to a Football Goal-like Frame, then at least the links below will help you source some of the needed materials.
A good suggestion? Go here and read...READ
Then do it up right.
Good Luck....and don't spill anything stronger than 100 proof on the Lawn...it'll kill the grass.