hey, sorry i missed your post earlier.
pressure in a pressurized container is equal throughout the container so i don't see any problem with just making a manifold that will accept all 20 lines. a pulse every 90 minutes may or may not be what you need because of environmental factors and the medium you choose but it's a good place to start. you don't want a big pump here if you are stuck with a one minute duration. you are forced to deliver a slow steady stream. 100ml is 3.33 oz's. so with 20 sites you need to deliver 66.6 ounces total. i think an impeller driven aquarium pump with around a 200 gph capacity should be sufficient. the back pressure will slow it down considerably. if it proves to be too much put a valve inline between the pump and manifold and dial it back. this volume also means that you can use a bucket for a res.
i just saw that you are going to run drain to waste, sorry. 20cups at 3.33 ozs each 16 times a day is 8.32 gals. a ridiculous amount of water for 20 beer cups unless you recirculate. you know how i do my clone containers? stacked with an airgap? something like that topped daily would work fine. if you pump you should recirculate.i can top them once per day with 8-12 oz's each. they hold 3 quarts of medium and i can grow plants to 24" in them like this. even at 12 ounces per day you are only talking about 240 oz's or 1.87 gals.
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but suprisingly stable)for moms so they dont need as much attention. This reservoir only holds ~60ml though with a 3/4¨ airgap, and they use it up fast, so the plantlets get 60-80ml 2maybe3 times daily. So about 1gal daily with 25% running to waste 
