If you aren't going to distill to dryness, then the peroxide risk would be rather low in my opinion.
From the peroxide decomposition viewpoint, it would be safer to perform a vacuum distillation (as the boiling points go down under vacuum, you would heat it less), but when vacuum distilling there is always a risk of glassware implosion (very small risk if you heat your flasks evenly, and inspect for cracks/scratches). With this I just wanted to say that no procedure is 100% safe, not that this procedure would be significantly more dangerous than any other.
My suggestion would be that you perform two distillations, one at 1 atm, and the other one under vacuum - then you get to practice both techniques and will notice how much the boiling points will differ at certain pressures.