To aggressive??? Well, it depends. From the homework that I've done the consensus is that the 4.27 is the all around gear, good for most tracks. This would be an easy, safe choice.
For me though, 4 of the 5 tracks I race have top speeds of only 110 MPH. This makes the 4.45 very doable. I would still use 3rd and 4th for the majority of the course, and 5th for the 1 or 2 longer straights. the other track, Road America, has speeds in the 120 - 125 MPH range. This would put me right at the rev limiter.
There's only one problem. The 4.45 is a "BMW Motorsport" gear and could cost a minimum of $900, if one is available. This could be the reason most guys end up with a 4.27. I do know of an M3 guy who is running a 4.45 locally, he gives it a thumbs up. Of course, the M3 has an extra 1000 RPM to work with.
I think DaveITB1 might be right, above 4.45 may be counter productive. I think it will make 4th to short and force a shift on the short straights, just in time to down shift for the turn. I've dropped that idea.
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