You can always get
less out of a tube/pair of tubes, but it might not sound the same/play the same to you.
Amp companies used smaller, less expensive tubes when less output was needed. Why use a tube/s that cost more when you don't need the extra output? Not only the cost of the tubes themselves but the cost of extra heater current/bigger PT and extra heat penalty from the bigger heaters. So if you want a low output amp with 6L6's might be best to look for real early/old amps from the earliest days of guitar amps?
What do you like about the sound of 6L6's? Is it their clean sound, more head room? Tighter bass? Or do you like their breakup better? Do you want a SE or PP amp? What sound are you after at a lower volume? Clean, dirty?
10 to 15 watts from a pair of 6V6's might sound really close to a pair of 6L6's at that output level? At 10w you will not be pushing the 6V6's hard and the tubes will have more head room than if you drove them harder to their limits.
OTOH, you could run a pair of 6L6's very conservatively and you might really love it.
Plus, Kevin O'Connor's Power Scaling when done right is about keeping the tubes transfer curve intact across the entire volume range so as you tune down the PS (output volume) it retains the same tones. This might be an option too.
Brad