What voltage will the 7805 see at it's input when you're drawing your 600mA?
600mA is going to warm it up nicely at pretty much any voltage input above the minimum it needs.
The regulator is typically going to see about 8.9vdc so it'll have to dissipate just under 3 watts. While it'll get warm it shouldn't pose any reliability issues with even modest heatsinking. I'm pretty much stuck using an off the shelf power transformer which limits me to a 6.3vac winding. I considered using a simple unregulated supply here as well but with mains voltages that can vary wildly, performance is going to get really sketchy!
I would also always use 100n's on both input and output of a voltage regulator, and at least a 10uF on the output too. A lone electrolytic will provide no real HF decoupling for the poor little regulator.
I've bodged this circuit into a number of pre-existing designs and never had any in service issues, so should it become a problem on the prototype I'll add it but I don't forsee any issues...famous last words!
The multiple RC filters to make lower voltage and use of "HT" suggest this is a high-voltage design. Maybe check if the distances between your traces meet minimum creepage distances?
Yup, it's a supply for a valve audio amplifier, so I'm looking at 460v on HT1 and HT2, and a little under 400v on HT3 and HT4. One of the problems with many commercial boards used in 'pro audio' instrument amplifiers is that they're often running right at the margin so I was quite mindful of that issue and kept my distances substantially greater than 200 thou. The only place that might be a bit iffy is where I've necked down the trace on HT4 where I've got 75 thou of creepage. With a solder mask I'm cutting it close but don't see any other solutions without going double sided.
My biggest concern is whether or not I'm going to pick up any appreciable noise on the audio ground by tying into the digital ground. Part of me wants to just run with a double sided board and keep the grounds fully separate up to the chassis ground point. However, I'd like to keep the board single sided if possible.