Would it be a good idea to have a health+attack speed item for tanks?

I've been playing league since S3, I'm plat III in the tw server. As I'm a main, I've always wanted an item that can give me HP as well as attack speed. This item can apply to many tank/fighters as well, like , , , , , , , etc. Every time when we have to build attack speed = we have to give up a HP tank built alternative during the period = the slope of ascension of tankiness will stop right there during the time period you're getting that attack speed item, most likely to be the or which is very expensive.

Currently, there are no existing item that can give tanks attack speed and HP besides the really expensive/unaffordable As a tank, not all of the stats are useful in tri-force, and it is extremely expensive. so that is not a option.

Here I might want to come up with an item that works like but instead of AD, it gives you attack speed. This item is designed to be the second or the first core build of a tank/fighter. I might want to price it about $2900, not too expensive as an early game core item. It gives you 40% attack speed, 500HP, 10%CDR, 50% HP regen and a unique passive effect: basic attack deals 3/4/5% (level 6/11/16) true damage based on the users max HP. The building procedure would be something like + + +450 = 2900