I am seriously impressed with just how objectionable the people are on this forum. Not one 'hey, how would the car be made' post at all, just flaming and snide comments.
Note that the OP gave no boundaries to what this car would be other than price and performance. So, lets think outside the box. In my odd trips to the scrap yard I see cars with early noughties registration plates on them, so 20 years old. Why are they scrapped I ask? Fag tray is full, or more usually they can't be bothered to replace the cam belt, stuffed engine. So here we have a complete car, just missing a working engine. Why not replace with an electric motor and some batteries?
Lots of space to hold the batteries, and if use lead acid then a reasonable price as well. Need a speed control, ever used an electric fork lift truck? My one worked fine with a not very expensive speed control, even has regenerative braking. A range of 100 miles at 5 miles/kWh means 20 kW, a 12V at 100Ah is 1.2kWh, so need 24V at 1000Ah. A 6V 150Ah battery is 22kg so total weight is about 600kg, easily carried in a small car missing the engine and transmission. Lead acid batteries are a well known item, can be endlessly recycled, easily available in a huge range of size and capacity, and weight can't be a problem when electric cars seem to be over 2 tonnes.
What else is needed? Got rust free body shell, brakes, steering, door, windows, all safety approvals, so just a heater for winter.
There are people who will replace your classic car engine with an electric drive, price I have seen is about £50k, not really affordable. There is so much traffic on the roads now that single carriageway speeds are about 45mph from my experience.
So, how about it, what would be possible using scrap car body shells?