I would use the pre-amp's bypass output to connect to the subwoofer's L and R input and use the Normal output to your main amp. That's mainly because the sub won't be able to use the pre-amp's tone controls anyway while you can still use them in the Normal connection. You may be a purist who don't want tone controls but in a 2.1 set-up, you will need to reduce the bass on the main speakers via the bass tone control and let the subwoofer deliver more of the deep bass. Otherwise, you would get overlapping bass frequencies from both and will peak to sound boomy. The bypass connection to the subwoofer won't be affected by your bass control setting so the sub gets all the bass signals.
I'm assuming your main speakers are bass-challenged below 50hz and the subwoofer can go down to 20hz more effortlessly. There's such a thing as cutover or crossover point between main speakers and subwoofer so the transition across the audio spectrum can be seamlessly shared between them. You are essentially taking the bi-amping configuration. Your pre-amp's bass control is often specified at a certain frequency where the control attenuates to the max typically something like -12 db at 120hz. Thie bass controls can serve as your electronic crossover in the bi-amping set-up. Refer to your Adcom manual. Check if your sub can be set at 120hz crossover point then. Many subs specify their -6 or -12db crossover points (the upper filter, not the lower one). That should approximate your crossover point. Then turn the pre-amp's bass control to your main speakers all the way down and start listening, adjust according to your listening taste. You will have to play it by ear to get a smooth transition between the main speaker and sub and minimize peaking frequencies resulting from having both deliver the same set of bass frequencies. An SPL meter and a test CD with frequency sweep below 100Hz can help you there. Hope this helps.
Does your subwoofer have a high pass L and R line out? I ask become some subs do for connection to another amp. If it does, then connect your subwoofer to the pre-amp's bypass out, then connect the sub's filtered L and R line out to your main amp. That way, you get a better crossover between sub and main since your main speakers will be delivering a high-pass frequency set filtered out from your sub, trapping the low bass frequencies for the sub to work on.