You do have access to the MLS, at least a basic version of it. It's what powers zillow, trulia, realtor.com, and all the individual office websites you see. As a consumer, you don't get the same access a paying real estate agent does (but even then, we only get in depth access to our local MLS). When I am looking at properties out of my MLS area, I am on the same sites you are. I'm just using them differently.
I spent an hour on trulia last week looking at small multi families in greater Houston. I found 3 opportunities that were interesting to me, called an agent I found here on the forums, and she gave me feedback on all 3 and we started to plan for a more in depth search later this summer. Because I have made a habit of analyzing deals every day for a long time, she confirmed 2 of the 3 would be worth looking at. Not bad considering I know exactly zero about Houston.
I have given you several points of specific, actionable advice, with concrete steps you can take to increase your knowledge of the residential market and improve your ability to quickly analyze deals. This was, after all, the subject of your original post. Whether you choose to take the advice I and others have given you is up to you.
I will give you one last piece of advice and then leave the discussion. Decide what kind of deal you are looking for (house hack, brrrr, multi family where you live in one unit and rent the others, flip, etc.). Then look for deals that will work for that strategy. Then just go buy something. You might not make very much money. You might even lose a little. But you will learn more than you ever can by reading forums and asking random strangers on the internet for advice.