I am a little worried that I am gonna kill the battery with this heavy use
As long as you don't over drain the batteries, work 'em, they can take it.
LiPo's are the backbone of a good percentage of the R/C airplane/helicopter/car modeling as is done with electric motors more so than fueled engines. LiPo's that may be "drained" and recharged numerous times a day.
The R/C hobby world is hell on batteries.
The electric R/C hobby world runs on LiPo's.
But, that doesn't mean one can abuse LiPo's and not end up suffering performance or longevity issues.
The good part though is that to treat them well, one has to pretty much only remember two rules :
1). Never drain a LiPo to more than 80% of its MaH capacity.
2). Do not store a LiPo at full or low charge. Long term storage is best done with a remaining capacity of 85%, or so. If stored at too low of a voltage and during storage it sags too low, the cell is toast.
Would it make sense to hit the pax while it's warming up in order to savor all of the flavor?
I do. When I just start to smell roasting going on I'll take long slow drag and although it seems there to be little vapor, the taste is amazing and some vapor may be exhaled, depending on what temp it is up to at that point.
You won't be able to know that you got much of anything from the vapor but you will notice the taste and were you to stop there, you would also notice that it was not without affect.
The best, as it seems to be the case more so with conduction vs convection is that virgin sip. If one waits too long, it's not as true to the smell of what is being vaped.