My suggestion would be to start with simple AND filters and worry about the OR filters later. 
Pocket Queries and the Geocaching Search (as seen below) all use AND filters. The grid (below from geocaching search filters) doesn't allow for the negative attribute filters, but I suspect GHQ will add them in due time.

I would love this feature.

This would be difficult as it would require ALL logs for the caches, instead of just the last 5 or 10 logs that come with a PQ or DB/List Refresh.

It would be appreciated if this could be added to all locations where you can copy coordinates including Waypoints created via the + button on the map.