The Neiden frame (full), with slats, is $99: https://m2.ikea.com/us/en/p/neiden-bed-frame-pine-birch-luroey-s79248606/ (mobile link)

Assuming you can scrounge up another ~$10 for sales tax, that should do the trick.

We have three IKEA bed frames (one king and two twin sized), and they are holding up just fine.

Or you could buy something like this from amazon for less than $70: https://www.amazon.com/Zinus-Master-Wooden-Mattress-Foundation/dp/B00M16A0AQ/ref=mp_s_a_1_13.