I am surprised that this group can't come up with a list of 25 great $10 reds.
Midpack. It sounds like you and I have very similar red wine taste. I like that RM barrel cab, but prefer the Apothic Inferno. We have tried several of the bourbon barrel reds and keep coming back to Inferno. Inferno here is between 11 and $13 - that's also my price for the RM.
Apothic and Menage a Trois makes great blends and are usually at or less than $10.
Menage a Trois Silk, Decadence, Luscious, Midnight, Lavish, the 'original' red blend are great. Their website nice and you can easily see what the mix grapes is.
https://menageatroiswines.com
Apothic Red, Dark, Crush. The web site is ok.
We will still occasionally get a true Cab, Zin, Pinot Noir, Malbec, or whatever, but the blends are so good over the last few years. I don't even hesitate to try a new red blend for $8 to $12.
Some others that we like are Castle Rock Pinot Noir and 19 Crimes red blend. Both are Costco stock items now for us and are $8. To move down in price, the costco 1.5L Cab works and we also like the Three Thieves 1.5L red blend. Our higher end bottles are Infintino Zin at $15 and Capolla Director Cut Zin or Cab. To have a thrifty drink, we like the Franzia Deep Red blend in the big box...
Hope that helps.
Also, I like my reds starting at about 55-60 deg F. We refrigerate our reds and set them out to warm for a few minutes, then pour in a room temp glass. We've been 'playing' with the red blends and enjoying them at the different temperatures as they warm. It is interesting how much a few degrees can make and change - improving, muting, or adding to/removing the flavors. That usually wasn't the case for us when we were drinking varietals. There was a 'sweet' spot for enjoyment but the changing details didn't seem to be there like the blends.