I think a $20 pick6 ticket budget is a real tough nut to crack. On any given day, any of the above approaches might make sense, However, I don't think any would yeild very good results on a consistent basis.
I personally feel the pick6 principles in Steve Crist's Exotic Betting book are very helpful.
On the downside, since I have really started practicing with the pick6 I have pretty much stopped playing completely. I can rarely get any level of comfort with under $400. Personally, I will keep practicing and playing only carryover pools when I have a good feel for the sequence.
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