This wouldn't work very well with league champions. Towers of Doom is a medium variance map in a low variance game. heroes of the storm champions are balanced to team fight at level 1. League champs are not, items and scaling abilities, actual last hit farming and such. Sure, you can do it at level one. Poke champs are overrated. Sion in particular at level 2 or level 3 would be fantastic for this map, Camille as well. Typically in Towers of Doom is you wanna select 2 tanks, 2 assassins and one support. Top lane is the safest to soak, 2nd in priority to roam and take because of the proximity to boss and top sapper camp. Mid lane is kinda whatever. Bot lane is the highest priority to take because of the proximity of the sapper camps. By taking bot lane tower and making it yours, when the sappers are capped, they do extra damage to the nexus and get you ahead. Soaking experience is the primary focus, getting the overall level above the enemy team for talent advantages.
What makes this map higher in variance is how and when players prioritize objectives, for example 2 altar spawns to do nexus damage, I like to call one the weak side, the one closest to your base which is the easiest to take, and the strong side, which is the one farthest to your base. People screwup this simple concept regularly which is why you get such high variance to the map. The strong side is the one you wanna contest with your team, which means where you will be fighting at. An example of this, I was taking the weak side altar while my team should have been attacking the strong side, then I join in with the assassin I was playing, assassin goes in last and mops up, who knew that was a concept. Rather than attacking the strong side, my team comes to weak side. Thus our weak side gets contested. So, we give them their weakside and get blownup at our weakside. It is a tradeoff, you can give them an altar, and take an altar, that is ok. When you start giving them two at a time is when you start losing though.
So, more often than not, you lose not because the enemy team is better than you, but, the way people prioritize objectives. You pretty much lose to your own team's collective stupidity more often than not. You can win every fight on this map, and still lose to your own prioritization. Push this over to league, where people regularly run it down mid and Aram summoner's rift at the 15 minute mark while ignoring side lanes and such. Meaning they have terrible macro, and you are going to have some major issues popup on a map like this. Especially, when you throw in leagues medium variance gameplay, farming, items and item spikes and such.