If you don't want to get a second bator, or a hatcher, I would just put them in and get them going. taking the second batch of eggs off the turner a few days early won't be the end of the world. Alternately, the trays come out easily enough from that turner--I have two of them myself. You could take out half the trays on one side (or whatever you need to remove to leave space for the hatching babies), and block them from the ones outside the turner so the babies can't crawl all over them after they hatch--I suggest putting the first batch as far from the turning mechanism as possible which will make it easier to remove the trays.
A lot of people stagger hatches, just make sure your humidity is on the low side of normal through the incubation and you should be fine. Someone else may have advice exactly opposite of mine. lol
Good luck!