I’ve done some very rough back of the envelope calculations. Assuming the separation is 0.062 AU and the period is 2.867 days. Then I get an orbital speed of 235 km/s, which in direct line of sight would equate to about 5 Angstroms around H-Alpha. However the shift would be twice this since at one stage it would be moving towards us, then half an orbit later away from us. So an overall 10 Angstrom shift, requiring a minimum resolution of about 600.
It is possible I’ve made a slip somewhere in my calculation, but if not then it could be an interesting challenge.