I thought the exact same thing on the negative grid swing, sacrifice a little power for a more simple power supply. I mocked it up both ways with that in mind. With the negative grid boundary being 0V, I rebiased to 375V 120mA. This brings the quiescent grid voltage to around 48V.
At idle, the grid will draw about 8mA. When I was mocking it with a cathode follower, I was looking at using the 6AH4, but might be better to go with 6BX7 or 6BL7 and parallel the sections, like I am doing in my 801A amplifier, which draws far less grid current. At one point I had thought to use the EC360, similar to a 6AS7G but single triode, but with the bias current + peak grid current, the B+ supply would be drawing something like 500mA. Going with a 6AH4 / 6BX7 / 6BL7, etc., the current draw would be much more manageable. As it so happens, I have quite a few 6BX7 and 6BL7 handy.
Put together a schematic below, still makes for a 10.5W amplifier without a negative supply and avoiding the A1/A2 transition point, the curves get much more cramped beyond. Would either need to run the B+ supply through a voltage divider or make a separate low voltage supply to bias up the CF grid. With each section of the 6BX7 biased at 10mA, idle current draw on the B+ supply would be around 300mA, then around 400mA at peak grid swing.
Another advantage of this approach - voltage swing around the 375V bias point is more linear, should make for a good first watt.