Parent made a very nice 2010, I would strongly recommend it for a weeknight wine. Blain-Gagnard makes a really nice Chassagne rouge for around 30 also.
If we 're including whites, the Domaine de la Cadette comes in solidly in this range. For red , I believe the '12 Benjamin Leroux was spectacular at under $30, and under screw cap.
Jérôme Chezeaux’s Bourgogne can be had for $24-$28 (depending on where you buy it) and is quite good…or the 2010 was anyways. Note this is Jérôme Chezeaux, a very small domain, not the Chezeaux that Ponsot is involved with.
Apparently there is a possibility to declassify Beaujolais Crus to Bourgogne Rouge within the AOC regulations. That quirk doesn’t add much value to the intent of David’s original question. One could spend days elaborating on the idiosyncrasies of French policies and their motivating forces. I can assure you that the men and women making Beaujolais Cru would not identify their wines as Bougogne Rouge.
At the end of the day, regardless of regulation, Bourgogne Rouge is (in 99% of the cases) pinot noir from the calcareous slopes of the Côte d’Or. And, perhaps more importantly, it is the wine which the winemaker proudly labels as “Bourgogne Rouge” which, as noted above in your post, Thivin and Chanrion do not.
I like Sylvain Pataille for this type of wine. His wines are forward, approachable and great for weeknight “no complications” consumption. I find his Bourgogne available in NY @ Bedford on wine-searcher. Incidentally Woodlandhills is closing out on his 2009 Clos du Roy within your price range. I’ve had it on numerous occasions and it is very good in a rich / polished way.
Why limit yourself to Bourgogne when you can drink benchmark 1er cru Mercurey at under $30? Weygandt turned me on to Michel Juillot - list is over but case pricing and specials can get it under budget. All I’ve tried are good but my two favorites are Clos des Barraults which sees the most new oak at 30%, and Vignes de Maillonge which is village but 60 year old vines and better immediately on release. They are AFWE wine though, lithe and elegant.