I've discovered a limitation to ASIO in that multiple sound cards/devices cannot be used together (at least as far as Adobe Audition, N-Track, and Vegas Pro goes).
What I was trying to do was use ASIO drivers for my input-to-track mappings for recording, but use my Realtek built-in sound card for the "master" output as I do not have powered monitors and therefore can't take advantage of the Delta 44's discrete outputs.
Are there any real gains for quality with ASIO for recording analog multitrack on balanced TRS inputs from an analog mixer?
I can still achieve 96KHz/24-bit sample rate without ASIO; not sure there's any benefits to using ASIO drivers (the MME or DirectSound drivers allow me to use the Delta 44's inputs as L/R pairs, and just as importantly allow me to use my built-in sound card/speakers for monitoring).