Then you probably want lowish logic and to get skill boosters instead: you probably want a 'ware setup along the lines of:
Cyberware: Cyberfoot w/ Nanohive and Neocortical Nanites (45000 nuyen, .25 cyber essence)
Bioware: Muscle Toner 4 (32000 nuyen, .8 bioware essence)
Muscle Augmentation 4 (28000 nuyen, .8 bioware essence)
PuSHeD (15000 nuyen, .1 bioware essence)
Reflex Recorder (Archery) (10000 nuyen, .1 bioware essence)
This leaves you with 1.925 essence used; you can make some of it (particularly the Muscle Augmentation and Muscle Toner) Alphaware in order to jam in more ware; other "nice to have" things would be making the cyberfoot a cyber lower leg and putting Armor Enhancement into it too.
You may not want to blow restricted gears on the Muscle Toner and Muscle Augmentation, and instead opt to start with 2/2 and buy them after gameplay starts. Your call depending on how much you care about power now vs. power later; they aren't particularly expensive.
Stat-wise, go with something like
B 4 (30)
A 5[9] (40)
R 5[7] (40)
S 4[8] (30)
C 1 (0)
I 5 (40)
L 1 (0)
W 3 (20)
Magic 5[3] (40)
Edge 2 (0)*
*If you're a human with Body 4, Strength 4, Logic 1, and Edge less than 6, it will make me sad inside that you are basically paying 20 points to be human after adjusting for stats. I would really like Edge 6 for this reason, but you may just not have the points.
Even with Logic 1, you can be OK at chemistry - you'll have Chemistry 4 + Logic 1 + PuSHeD 1 + Neocortical 3 + AR Plans 2 which is 11 dice, enough to get stuff done. The 1 logic and charisma blows chunks but it is easier to fix than any of the other stuff you could sacrifice; such is the price of being human - either shaft yourself long-term or have some dumpstats.
PP-wise, there's not a whole lot of adept powers that help you; Quick Draw (assuming your GM rules it to work with arrows) is .5, then either take Improved Reflexes 2, then raise magic to 4 with karma and take Improved Ability (Archery) (2) then, or take only Improved Reflexes 1 now, and Improved Ability (Archery) 2, then get Improved Reflexes 2 when you get Magic 4. You could also get Improved Ability (Chemistry) 2 which you may decide is worth it for .5 pp. If you initiate and get more power points you can then start grabbing stuff like Improved Reflexes 3, Combat Sense, Mystic Armor, etc.
Skills, you should probably at least have Archery, Chemistry, Athletics, Stealth, and Intimidate. That will probably suck up most if not all of your points.