Compare your carb to what Edelbrock is selling as "newish technology" in their lineup. You may see a striking, almost uncanny resemblence to what you already own. I think that they bought the molds, and although they may have tweaked it somehow, the design lasted almost forever at Chrysler, so what you have might be worth hanging onto.
There are carb kits out there that are under $100, some under $30.
The top of the carb can be carefully unscrewed and removed (look at all of the flat-head screws and the two recessed ones in the centerline, the entire visible chassis cleaned with carb-cleaner, and the whole deal re-assembled, getting most of the way to a "rebuilt" carb. Going the whole distance includes soaking and greater dis-assembly, possible media blasting, and just going deeper in. Much of the time, opening it and cleaning what you can see is the way to go. If you have not done it before, getting someone who has to help can aid greatly in the confidence factor. I've had a 50/50 success ratio with this "feild cleaning" and am a cheapskate, so land on the side of trying it before complete removal.
Take a look at your service manual or one on the website to find out more about it. These things are mechanical and CAN be taken apart by mere mortals. If you try to scrimp, screw up, and have to take it out to be rebuilt anyway, how much did you really lose? $225 or so is a fair and market correct for a truly complete rebuild, and it is likely money well spent.
Make certain to use the better, more expensive rebuild kits if you can - they can go as high as $65 or so. You get what you pay for....
You did think twice and try to look that up on the club website using ARCHIVE SEARCH after asking, right?
What is the CFM rating for the original Carter AVS for a 1969 LeBaron? Was it any different from the other 350 HP 440's from that year. What about the 383's carbs.