Absolute bargain basement budget, cheap, cheap, cheap...
One or more of those remote slave flashes that come with budget camera kits.
This Godox is one example, eBay have lots like it, usually from manufacturers you've never heard of. I've seen them as low as £4, but generally about 10-15 dollars/pounds/euros
No hot shoe or wireless trigger required;
They fire when they see your main flash fire.
No other timing/adjustment possible.
Weigh a couple of ounces.
Refresh times are usually bad, 5s or so.
You can put on a spare stand, using rubber bands if needs be, out of sight behind your model, pointing at the backdrop. BluTack/duck tape one to the model's back at a push, or get them to hold it.
If you need a diffuser... bubblewrap.
At best, it'll work well enough for you to consider upgrading to a better remote speedflash kit when you can afford it, at worst it was only a tenner.