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I think I've got the Rube Goldberg solution here!
1. Measure the specific gravity of your gas. It may vary about +-5% according to wikipedia.
2. Weigh your gas can.
3. Fill vehicle.
4. Weigh gas can again.
5. Subtract line 4 from line 2.
6. Divide line 5 by line 1.
Staples has a $130 pediatric scale with 44lb capacity and 10 g resolution. 20 gram accuracy would mean an error of at most 29 mL or .0077 gallons.
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