I know you aren’t supposed to use more than 100’ of 5/16 hose or you get pressure loss. Instead of using 3/8 xero garden hose could you use 100’ of high flow hose to feed the 100’ of 5/16? The greater inner diameter should allow for more distance before pressure loss.
100 of high flo hose to 100 ft of 5/16 is better than 200 ft of 5/16. 200 ft of 3/8 is even better.
I use 300 feet of 3/8 into 50 ft of 1/4
vinturi effect, works well, can adapt for whatever sizes you need