Archer,
From what I gather, here are some tips you should try.
1. It would be great if you could use contact lens. This is the best solution.
2. Sometimes, if the glasses are too small, you tend to look thru a bad angle which result in a straing. If the glasses are too big, then there is a problem of them pressing against the cheek, butt, etc. You have to choose the right frame for your face and stance.
3. Use a headband to keep off sweat. But I would suggest you do NOT use a cap and cover your head, which may add to more heat-up. Leave your hair with the wind for best heat dissipation.
4a. Ensure that you are not exercizing too much of muscle strain, especially with regard to your cheek-butt pressure. This results in sweating after some time.
4b. Recheck your loading and aiming routine to ensure you are not over-exerting or over-stretching yourself. Several such actions could aggrevate sweating.
5. For controlling your overall sweat, try drinking ample water before shooting. This usually regulates your over all body temperature and may slow down sweating.
6. Here is something you could try. I have suggested it to some of my fellow shooters and it has helped them. First, you need to 'train' your body to the excess strain that you give it while in the match/practice. Usually, the body can take some muscle strain with low effort. As this effort continues over a period of time, the strain level goes much higher and may result in sweating, palpitations (in few cases), anxeity and/or nervousness. So, to train, you will have to adopt the shooting posture as much as possible in your daily life, from sleeping to watching TV

The ideal way would be to hold something like a gun (if you dont have one available all the time) and get into your Prone position whenever you can. You will have to ensure your body 'does not mind' the position for 3X time duration, if X is your overall match/practice duration. This is ideal, and may not always be the case.
7. Here is another remedy. This is a National team standard proceedure and may help, but depends on the shooter and his body/mind frame. First, you will have to get into the position; next, take your normal aiming routine (unloaded); Next, starting from your toe, till your head, start to tighten all your muscles consciously. This is a very important step. DO this with awareness and complete control, and slowly inhaling. Hold the position, with all your muscles tightned, for about 10 seconds, holding your breath. Now, slowly 'release' the muscle tightness, starting from your head to toe, as you exhale. DO this three times the first day, and go upto 10 times gradually on consecutive days. You will notice that you sweat a lot and slowly, the body and its different muscle groups will adapt well to your position and any imbalance from its natural position.
8. Always ensure you breathe well between shots, and blink your eye a lot, occasionally looking at far off greenery if available.
9. Last but not least, dont concentrate too much or for too long especially during the latter shots, when you feel your vision blurring owing to the moisture on the glass or whatever. Ensure you maintain your rythm and go ahead with your usual firing proceedure. If you cant take the shot within your natural rythm timing, cancel the shot, breath well and retake the shot.
Try this and lemme know it they help. I expect a good feedback, so that it will help future advices
