Sounds a lot like a shoe I had this week. What count is going to help me when I get dealt an 18 and the dealer has a 20, hand after hand?
Your reasoning about standing on stiffs is very flawed. Even if you are counting 6,7,8 as high cards the count is going to have to be enormous before you are standing on stiffs vs. 7 and 8 because having those middle cards in the shoe make it easier for the dealer to make his hand. (What do 6, 7, and 8 add up to?) Those cards are quite neutral in such hands. Forget that, and you end up playing like players from a certain continent (that I won't mention, because I don't want anyone to know I'm talking about Asian ploppies) play.
We worked out a special Surrender decision-making count on this site a while back, where the 8 is a high card and the 7 is a low card and it is biased towards the decisions you have to make when you have a lot of money on the table. 14 vs. 10 is the big one. That's great, if you have a partner with you at a table and I don't know if in a LS game you would be better off having a partner use a sidecount for surrender plays, or have him use the insurance count which makes you money on insurance but also the valuable 12 vs. 2 and 12 vs. 3 plays. If you are playing solo forget all that; just get a lot of money on the table when there are a lot of aces and 10s left and you will be fine.