Budapest in nov 27

First time poster but somewhat versed in point usage.

My wife and I are planning a big trip next year, one of our best friends and his husband are redoing their wedding (they got married during covid and had a very small "ceremony" at the courthouse) in Prague. Our planned itinerary is as follows

11/6 Leave the states
11/7-11/9 two nights in Budapest
11/9-11/11 two nights in Vienna
11/11-11/14 Prague for the wedding
11/14 Head home

I've planned out most everything with the help of AI, yell at me if you must, and have a really solid itinerary with the exception of points/award travel.

We have 200kish points via chase and I'm looking at LOT flights for their points saver seats since they are a Star Alliance partner. AI is saying they open 355 days before, to book via AirCanada or AirFrance and when I try to run a test for a September 1 flight (355 from today) I'm not seeing any options. I'm looking at one way ORD to BUD, then we'll train to our next spots and then PRA to ORD back home.

The rules to post say "give two examples of how you've tried" and I can post my exact findings if needed but they are all showing at dynamic pricing

Any help would be much appreciated!