Thanks for the comments! In a nutshell, here's my process:
I start them in mid-late December. I start them under 3" domes when the plants are small with 24hr lights until they germinate. Basically, I just use the lights for heat, initially. After they are up, I reduce the lights to 18hrs/day. As soon as they germinate, I begin feeding them with Miracle Grow (1 tbs/gal) every time I water them. They only need watering every 3-4 weeks. Once they're too big for the 3" domes, I put the 6" domes on (pictured). I never remove the domes.
Sure, I get mold. I get some liverwort. I get some algae and moss, but nothing affects the seedlings. They seem to love it.
I used to cull them in early March and replant individual seedlings in 48-cell flats. But, I found it worked better if I just snipped out the weak ones and let the good ones grow without disturbing them. About a week before I put them outside in late May, I remove the covers to let them harden a bit.
As for these crosses, I've been lazy. These are all open pollinated. Once I get a good, solid selection of pollen/pod parents, I'll get back into manual crosses.
Thanks for explaining your growing set-up/process.
Apparently, I'm too patient.