Well, "non-aromatic" is a really broad group of tobaccos - we'll have virginias, vapers, unflavored cavendish, burley based, orientals, english, "balkan", scottish, semois, lat bombs... So you'll have a lot to take in. I'll give you 5 of my favorite blends together with its type. I am a predominantly english mixture smoker, so beware.
I'll remove discontinued blends and unobtainium from the list so these should be fairly easy to acquire:
1. Boswell Northwoods - English (with black cavendish)
2. Wilke 524 - English (with black cavendish)
3. Presbyterian - English
4. Firestorm RO Series - Vaper (with kentucky)
5. Peter Stokkebye Luxury Bullseye - Vaper (with cavendish)