Hmm, that is a tricky one as we don’t know what will happen between now and next June. I would HOPE that things will have gone back to ‘normal’ by the beginning of next year so that insurers are offering travel policies generally again. They may not, of course, but I think it’s a reasonable assumption that they will.
If you don’t mind your current bank too much then maybe stick with them until you can see that things have changed. But if it were me I would take the risk, move my account and just assume that things will have improved by next year. Hope so!