Look up cheap activities on Groupon/Eventbrite. You'll be surprised how much you can do that costs less than a date at any restaurant. Rock climbing, go karts, miniature golf, comedy shows, live music, etc.
Don't listen to n***** talkin that "bring her to the crib only" BS. 8 - 9 times out of 10, you're either asking to get dikk teased, or rejected altogether. Take her out on 2-3 dates, and once you hit, you can smash about 3 - 5 times before she even mentions another date.
Go to Google, and just tap the restaurants button. A bunch of restaurants are going to pop up near you. Take note of all the restaurants with one $ symbol. That means you won't be spending more than 30 for the both of you on most occasions.
Go for breakfast. Breakfast spots are always cheap. You can hit the park as well. Get some rackets and play tennis or something.
One thing that I've done, and I've heard women say time and time again, is none of the friends with benefits relationships they've had, started out with her just going back to the crib. The dude would take her out in the beginning, and they would have a lot of fun together, or he was just flat-out romantic.
Be that dude.