Step one. Go to your local university. Ask them about surplus PCs that they aren't using anymore.
They replace them regularly, and usually have hundreds that they need to get rid of.
Buy a pallet full. Rent a truck, and take them home. Don't worry about having too many, in step two, we'll reduce the numbers.
Step two. These aren't new, and they aren't the latest model. So open up half of them, and steal the ram to double up in the other half. Set those aside for now, you may need to scavenge parts off them, like power supplies, processors, fans, etc.
Add that ram to the remaining PCs. Swap out any bad power supplies.
We're building headless nodes for a render farm, so pull out the video cards, and other junk we won't be needing.
So far you spent $20 on computers, and $75 renting a Uhaul + or - a few beers depending on mileage, and if you have a friend with a truck or a van. Assuming you don't, you're in under a hundred so far.
Step 3. Go on ebay, and order some ethernet cables so you can network these things together.
don't be cheap, pay the extra 5 cents each for cat 6 1 meter long
and grab a couple routers, while you're there.
and 30 power cords, if you don't already have them laying around.
After you get that setup, OS installed on each PC, network up and running... you should have $850 left over from your $1000 budget.
Now, instead of rendering on your laptop, you can send the scene over to another node to do the rendering.
You don't have to sit there watching your laptop melt, you can tweak the pose, and send the next frame off to be rendered on node 2... and so on... no down time, no waiting for the render to complete, your laptop is free to keep working constantly.
OK, now that you're setup to render hundreds of images a day, that doesn't mean you can work one day a month, and milk the Parteon, those pledges are going to expect you to deliver at least 3 days worth of work each month.