Take your cuttings a little later... only getting past the first delay seems to be the issue. Lets assume 12 weeks in flower room 1 is veg room 2 is bloom

2 weeks before the first set from room 1 goes into room 2, take clones. This gives your soon-to-be-flowering plants 2 weeks to "heal" and grow normal again before putting them in the bloomroom

Now you have clones - rooted in 2 weeks - veg for another 6 or 7, then take clones again. The clones can stay in the veg room/light schedule no problem, the plants going into flower have plenty of time to heal - repeat. The only bad is it might start getting crowded in there around week 10-12 (8 weeks of veg on a clone is a lot!), and since you are vegging the donor plants, you will likely be giving them a high N fertilizer, which can increase the time for clones to root