1. Most cordless tool batteries are overrated. You can find 1300mah sony cells in 1.5Ah pack
2. Fast chargers can set current to 6 or 9 amps. This is 30 minutes of charge for 3amp rated pack, including CV mode. All chargers I’ve seen ended with 4.2v per cell.
3. Some hobby chargers have ac-dc power supply, you can use one of those if bigger size is not a problem