By adding peat to neutralize the alkaline water, you are creating dynamics in your water that can get out of hand fast. Your pH may swing wildly between acidic and alkaline and will make an unfavorable condition, at best, for your shrimp. For example, take any acid and add it to water and check the pH.. come back an hour later and check it again and there's a good chance it'll be different.
The only thing you 'might' be able to do is to add RO water with a low GH, KH and see where you end up. With regular water changes, it 'might' work.. but you may be putting a lot of stress on those shrimp unless the change is slow.
A much better idea as has been pointed out is to remove the chips. It may be a lot of work initially, but it'll save you a lot of headaches in the end.
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