I've lived here for almost 12 years. There are a few things you should know, if you don't already.
The Woodlands Township (the actual incorporated area) spans two counties (Montgomery and Harris) and three school districts (Conroe, Tomball, and Magnolia).
There are other areas that will call themselves The Woodlands, but they are actually Woodlands-adjacent (meaning they are not actually in the Township). Some of these areas are zoned to the districts listed above, but there are also areas zoned to Klein ISD, Spring ISD, and even Montgomery ISD.
The zip codes that are actually in The Woodlands are 77380, 77381, 77382, 77384, 77385, 77389, and 77375.
All of these zip codes are on the west side of I-45, except for 77385. Not all of these zip codes are 100% in The Woodlands. I live in 77389, and only a small part of my zip is in The Woodlands.
There are pros and cons to being within the Township boundaries, but if this isn't a requirement for you, it will open up your home search a lot and you will likely get more house for your $.
Real estate prices in the zip codes I listed above are still high compared to two years ago (assuming the house is actually in The Woodlands). The market has cooled somewhat, but I'm still seeing inflated prices, mainly because inventory is still pretty low (especially at the <$500k price point).
You are not going to find new construction in 77380 (except for a few tear-downs that will be $1MM+), 77381, or 77382. There is new construction is 77375 and 77385. My neighborhood in 77389 is built-out, but most of the houses are <10 years old, many are <5.
There are areas in 77380 that flood (technically those houses aren't in The Woodlands, but are adjacent).
The realtor I would have recommended moved to New Braunfels a few months ago, so I don't have a great suggestion.
But if you have any specific questions about neighborhoods or schools, feel free to ask.
My best suggestion is to start searching those zip codes on HAR. See if there is a anything you like at your price point. If not, gradually start expanding the search.