Repeat after me: You cannot time the market. You cannot time the market. You cannot time the market. Repeat as many times as necessary until it sinks in.
Trouble arises when you fixate on one particular thing and ignore the rest. In theory, it sounds really smart to wait to buy until the housing market drops -- I mean, who wouldn't want to buy the same thing for a lot less, right?* But you know what tends to go along with housing market recessions? Job losses, meaning more people cannot afford a house, which could include you. Stock market drops, which means your $100K downpayment could be $80K or $50K by the time you've decided the market is finally low enough to buy. Interest rates are higher (because the point of hiking interest rates is to cool economic activity, after all), which means the increase in monthly payments could largely or more than offset the lower housing prices. And then, of course, if the housing market is dropping, you also have to accurately forecast when it's at its bottom -- and then be willing to pull the trigger at the very point it looks like buying a home is a sure loser.
You cannot predict the future. Yes, some people will luck into finding an underpriced home right at the perfect confluence of home prices, interest rates, and investment values. But that won't be you. Or anyone you know. And there's really no sense targeting your plan around something that's highly unlikely to happen. It's like planning your retirement around winning the lottery.
I also strongly encourage you to take
@Mal(formed)cat's advice and think very hard about why, exactly, you want to buy a house. Hint: "because we've just had a kid," or "it seems like it's time/is the next step" isn't an answer. What does a house offer that renting cannot? If you want more space, a yard, etc., see what is on the rental market, and compare the going rental rate to the costs of buying/maintaining/improving a home. IMO, a smart financial plan treats a house as a consumption item, not an investment; sure, you might get lucky and buy in at the beginning of a super-hot housing market, but then again, it's more likely you won't. Better to buy a house because of the enjoyment it provides you vs. the perceived financial benefits, and therefore to analyze it like you would any other luxury purchase.
In the interest of full disclosure, I have owned my own homes since I could afford to do so, for emotional reasons. I totally get the pull -- that feeling like you really really want to own a home. But I'm also older than you by a fair bit and can fairly state that almost all of my home purchases were rather stupid financial decisions. I have lost money several times -- once on the order of $100K -- when those recessions you're waiting for triggered job losses that required us to sell and move just as the market dried up. I have never been lucky enough to buy into a market that then takes off enough to outweigh the carrying costs and costs of buying/selling; we made out ok on some purchases because of relocation support, and we currently have a future-retirement condo that has shot up in value in the past couple of years, but that's after many more years of losing money every month on a rental. Our current home is lovely and old and gracious, and also a huge money pit. But, again, I'm a lot older than you; I'm already FI even with my money pit, so I can afford to make a less-than-optimal financial decision without any meaningful effect on my planned retirement date or lifestyle. You've got a lot less leeway when you're earlier in the game, so do yourself a favor and look very hard at needs vs. wants and how any choice will affect your long-term financial plans.
*Answer: Apparently, the vast majority of people who buy homes and stocks, because they do tend to pile in as prices rise because FOMO, and then sell as prices drop because FOMO.