Strictly my opinion, but the rigid has a few small advantages. It is truly smooth wall. So less nooks , crannies and grooves to collect junk. Some say the swirl in flex promoted flow, others say less resistance with the rigid smooth wall. I think the difference is prolly minute if any. As far as cleaning, again, truly smooth wall, less resistance, brush may make fuller contact, but again, difference prolly minute or non-existent.
I was at about 1k for my set up, from stove adapter to extended cap. Back when I installed mine, I compared the cost, and while flex was less expensive for the liner itself, even more so with a kit with cap etc. With the added cost of insulation, it was prolly about a couple hundred bucks or slight more for the double wall rigid. I did install myself, so wasn't that much a PITA.
With your flue tile size, it may even be slightly easier to install rigid in your rather than flex, cause if your insulating the flex, it will prolly be tight, and may get hung up on the mortar seams & any offset tiles.
You have time, search around and compare pricing.
I got mine off ventingpipe.com. There are other vendors out there. Even Walmart online sells some liner & class a products, through their outside vendors.
I do have 5' of flex at the bottom, from 1st old flue tile to stove outlet, and the rigid for me, is much easier and smoother to brush. Once the brush hits the flex, it takes some more force to get it through the flex. Not Rhino power force, but def noticeable.
I want to add, that wrestling with 20-30 foot of flex is not super enjoyable on a roof. This to me is where the rigid shined, only had to manage 4' sections at a time, and lower down as you go.
I have helped a few members over the years install flex, and I was usually the one on the roof that was trying to balance myself and wrangle a worm down the old flue. The worst is when it gets hung up halfway down. Spinning it sometimes works. But it really sucks when you have to pull it up, send it down, pull it up, several times. Makes for tires arms & back.
The last one was on a lift, that didn't fully reach the chimney. That was a challenge to say the least. But well worth the good feeling afterwards, of helping a brotha out.