I play mostly LAN games with Demigod, and my group of friends and I have developed a few strategies which we've found to be quite useful. Due to the nature of the game, I assumed that one of the most helpful strategies - seperating your healing minions - would be common practice, however after playing a few online games over the weekend I noticed that hardly anyone did this. I thought I'd take the time to explain why this strategy works, and why it should be common practice.
Please forgive me if this has already been written up, I had a quick look through the forums and I wasn't able to find a topic on it readily available. Please also keep in mind that this is based entirely on our observations rather than LUA code and any additional information would be welcome.
How it Works
Firstly, Healing Minions (from my observations) have unlimited mana and a short cooldown on their healing ability. What mostly restricts their healing, however, is an invisible debuff on a Demigod that prevents them - or any other Healing Minions of the same type - from healing that Demigod until the debuff has worn off, and this debuf is reapplied whenever you're healed. This enables them to heal multiple Demigods at the same time with no penalty. On top of this, each Healing minion (as in each of the two summoned) heals for a set percentage of a Demigod's health pool. You gain no additional healing for having two Minions with you, as each of them is capable of healing you for that percent on their own.
Why it works
As anyone who's tried to push a lane against a General with Healing Minions will attest, the additional healing they offer can be quite substational. However, as Assassins do not have access to the Healing Minions, and no Demigod can be in two places at once, Healing Minions kept together restrict the potential healing available to your side on the field - the object of this strategy is to increase your potential healing as much as possible by seperating your Healing Minions and placing them on different lanes, effectively doubling the potential healing available to your side! This, naturally, allows Demigods who do not have access to Healing Minions to push back against Demigods who do right from the beginning of the game as one healing minion heals for the same amount as two healing minions - at least from what I've passively observed.
Making it work
Basically, the idea is to keep your Healing Minions seperated at all times to maximise the healing potential on the field. I play with one with me, to return the cost of the idol, and the other where ever it is needed. If I see one of my Team Mates is fleeing, for example, I'll direct my stray Minion towards them so that they receive a heal once the minion is close enough and this may increase their chance of survival.
Now, if your side has multiple Generals, such as Sedna and Erebus, communicate with the other General and organise which level Healing Minions your each going to purchase. Why? As I mentioned above, each level of Healing Minions appears to have their own debuff - if you have one Level 4 and one Level Three healing minion with you, you will actually be healed twice. The increase in potential healing available to your side cannot be understated in this situation, and all it takes is a little organisation. The effects of this kind of healing minion stacking can be game changing if you have multiple Generals on your side.
The last thing to keep in mind is the speed of your Minions. Increasing your Demigod's speed through items also increases the Speed of your minions, and as such if you're planning on playing as, what we call, the Doctor (keeping their Healing Minions moving) you'll need to increase your speed to maximise the time they're on a lane and minimise travel time between them.
This does require a bit more micro-management than most players are used to however it's more than worth the effort if you can have multiple Demigod's pushing multiple lanes against their opponents right from the beginning.