You will be getting disconnects as long as you use mining software that does not support extranonce subscriptions. If you use any special ASIC, make sure to put some pressure on hardware providers to implement extranonce subscription:
https://www.nicehash.com/software/#devstesting on nicehash : cgminer-zeusminer 3.1.1 and it works. should look any further for other soft or cgminer-zeusminer would work on nicehash?