you cetrainly can do the wood strips- that’s what I have used with sucess- but- you can also run into more hitches along the way- like cross combing. You will also get more drone cells- almost certianly. You need to keep an eye and fix things when they start to go wrong more with foundaitonless frames. A good compromise would be to checkerboard foundationless with foundation. The frames with foundation will help to direct the bees to draw out the foundationless ones well. Slotting in a single wood starter strip frame between established combs works very well.
My aim when developing a brood box is to make it completely perfect: perfect flat frames that slot in and out easily. I spend some thought on the spacing of frames, ensuring the hive is perfectly level, etc to develop a perfect box that is easy to inspect, and maintain. Using some foundation really helps - especially if you are not hugely experienced in keeping bees.Small issues that develop when a hive is started- can easily become much bigger issues down the road. Fixing deviations early saves a lot of bother later.