what you are experiencing is two things: one, the heaviness of "glass" type rods - and, the difference between a 12ft longpole and a micro-lite ice fishing rod :rolleyes: Sounds like what you've got is more suited for putting in a pole holder :o (definitely not for casting or "shooting" with) And about the only way you can use "your" particular outfit for vertical jigging - is to have enough handle length "behind" the reel, to rest under your forearm (and not just hold the rod/reel with your wrist).
Not much can be done about the weight of the rod. And, depending on what reel you have on it (mainly "its" weight) you may not be able to get much "balance" out of it, either. Putting the reel on the handle as far to the butt end as possible, and still have a "tip heavy" feeling rod ? - that's an indication that your reel is too light to balance the outfit properly. You can get into a bit of a dilemma when trying to match out and balance those longer poles. You want it to be light, so you can hold it horizontal for long periods of time - you want it to be strong, so it can hoss those big slabs outta the cover and towards the boat - you want it to be sensitive to the slightest "tic" ... and yet, you want it to be balanced, with enough reel/handle weight to offset the weight of the rod blank length - but, you don't want the outfit to weigh a pound The problem comes when trying to find a light weight outfit, that's properly balanced, and still stout enough to do the job.
I like for the rod to balance where my 1st finger would normally be on the handle, when fishing with it. This places as much weight in my hand, as is forward of my hand. I can live with a little "tip heavy", or even "butt heavy" ... but, I mostly cast - so my rod isn't usually "held horizontally" for any length of time.
About the only time I fish "vertically", is when I'm tightlining minnows (and I'm not holding the rod, then) ... or "Vertical Casting" jigs (see articles section for explanation). I don't use "longpoles", at least nothing over 8ft long, that is. So, I'm not the one to ask about what brands/models are what you might want. We've got several reputable rod maker members/sponsors, so you might check out what they offer. ........... luck2ya ...cp