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doesn't really help without hashrate! cpu/gpu is pretty out of the question
appreciate the attempt to help though!
(the polite answer here is those difficulty of one blocks after 20 minutes is scalped by bots. they do weird timestamping tricks to always be blasting that 20:00:01 time from last block. It takes a CPU/GPU maybe one or two seconds to find a difficulty of 1 block, takes someone else's ASIC a fraction of a millisecond. It's a race I will not win. Go check out testnet, most of the blocks are empty because it's just bots fighting to print empty blocks)
Have you actually tried it though?
I have personally mined those diff 1 blocks with CPU: https://bitcointalk.org/index.php?topic=5415861.msg61765486#msg61765486
I did. It was a pain in the ass. I see your post is from three years ago. A lot has changed in the last three years. Anyway, I'm covered for coins, all good :)
This might be useful:
Solo mine testnet bitcoins with bfgminer, Bitcoin Core, and a CPU/GPU
Solo mine testnet bitcoins with cgminer, Bitcoin Core, and a Compac F