I have a similar issue with my jawline and chin. Although I can shave with either a DE or a straight razor, I get my very best shaves when I do two passes with a straight razor and then use a DE for a clean-up pass on the jawline and chin. Since you have both a straight razor and DE, I suggest you try a few shaves using my method and see what you think. It may not be conventional, but it works for me and may well work for you.
Yep, definitely did that for a while. Problem is that I take apart and clean my razor after every shave. The added step of cleaning the de razor in addition to everything else made it seem like more work than it was worth.
Two tools to do one job, when I should have only needed one.