The problem here is what is the largest battery that will fit the frame case for a Typhoon H. “Best” is not a good term when using proprietary design batteries as we don’t have any way to establish cell quality of what we are being provided. What we usually get are the cells a manufacturer can obtain the most profit from at the price they are sold at, which are never “best” quality.
Ultimately, batteries with the highest mA rating will provide the most flight time but even that has caveats. If the “C” rating of the battery is too low for the demand placed on it a higher mA rating can end up providing less flight time than a lower mA, higher C rated battery. Confusing that a little more is Yuneec classifies their H battery at a lower mA count than it actually is, which is in reality 6300mA. For general purposes just about all the 6300mA batteries from different sellers of standard LiPo cell chemistry intended to fit a Typhoon H are very close to each other in flight time performance. The only real difference is their selling price, although some manufacturers may use really cheap cells that have short useful lives. They work fine for awhile but start to degrade after a relatively few use cycles. The quest for a “stock” type battery that will fit the H while providing substantially more flight time economically is sort of like chasing rainbows; you’ll spend a lot of money trying different brands but never find a pot of a lot more flight time.
There is only so much energy efficiency available for batteries at our level and the chemical physics involved at the price point dictates they will all be fairly close to equal. If we want substantially more flight time we have to use a larger, heavier battery, one that will not fit in the framed case used for the Typhoon H. A personal decision would have to be made to dispose of the case and retention method and employ a battery that did not use the case. Alternative battery connections would be necessary that would require modification of the aircraft body, along with a different means of securing the battery in the airframe. Bear in mind that as battery weight increases the system requires more power to carry the extra weight, which in turn reduces the amount of additional flight time a larger battery would provide. So larger batteries and extra flight time is never a linear equation. There can also be issues with flight stability if heavy batteries are used. Experimenting with batteries can be a delicate balance between size, weight, flight time, and power consumption, especially when working with flight systems having marginal thrust level “overhead”. Should you choose to experiment, use batteries with a C rating of between 15 and 25 for the Typhoon H.