Well I’ll have to say I ran my 337 up front this past Wednesday, and there seems to be very little delay in the jig showing up on the screen, but the lowrance has, a hyperscroll mode, and I run my ping speed at 100 percent. Nearly as good as a flasher, for now I like the color, I like the gps capabilities, it may just stay up there, But they do go far more than the $200-300 range. Minn Kota does not make a universal transducer cable adapter for the LX3’s yet, though I have been pressuring Minn kota to make one, we’ll see.
There is a considerable delay from what I’ve seen on a lot of units, it comes a lot in the form of the graph only moves so fast, so you lose some data in the time it takes to display the info on the screen, like I mentioned lowrance seemed to nip this in the butt a little with the hyperscroll and ping speeds, But I have a older fish 128 unit that you can see an obvious delay in the feedback, and on days where the fish are not just smashing everything in front of them, the little delay seems to hurt. My flasher up front has been fish in the boat time and time again for me, the ability to instantly see how fish are reacting to your bait seems to help, I never doubt my flasher, if I see a fish moving it’s moving on my flasher the same speed the fish is underwater, in short nothing short of a camera, give faster feedback, I can’t even count the number of times I’ve marked a fish and dropped my jig by them only to catch the fish seconds later. Works awesome on deeper wing dams 
The Garmin that came with my boat would not scroll fast enough to accurately display the info as fast as I wanted it, Heck I think it was more transducer related, but IMHO it was useless (It’s still for sale )
I suppose it’s all in how you use your electronics, I’m kind of a tech junkie, so I used them a lot, I like to play with them, and I want the best for my money, a flasher if you are looking mainly for depth with give you very fast feedback, and a great ability to see how fish react to your baits if you are close enough to see a jig in the cone angle. And I just think bang for the buck with the ability to use it in winter too, which you could do with a lcd graph too, You also get interference reduction with the flasher, which can be nice in some situation, though I don’t think you need it.
Would a graph work good? I’m sure it would, Are you going to lose fish are not catch as many without, probably not. I just wanted to put forth the flasher argument, I think it’s a great bang for the buck factor.
Anyone can learn to use a flasher in mere minutes, I’ve never met a person who couldn’t use one. You may spend a little more than the budget, but I think the year round usability makes it more desirable.
Of course all in my opinion, just don’t be afraid to at least look at it as an option. 
edit: The cone angle still doesn’t allow you to see some leading edges on depth changes but it does seem to move a little faster. Same as the graph, really, but it “seems” to be a a lesser issue with flashers you could argue it either way, realistically it around the same as a fast moving graph, IMHO.
Normally I ran my lx3 right in the ice pack off the battery, but the make the puck style transducers for the lx3’s too, Still I’d buy the ice kit and decided if you want to mount it semi permanant for summertime with the puck, no problems popping it back into the ice kit for winter. 
I don’t know if you are required to pay sales tax on used vehicles up in Minnesota or Wisconsin but they make you do it down here in Iowa. It didn’t used to be that way. When I bought my boat several years ago I did not have to pay sales tax on it but they now require it.
