Basing your choice on a budget for an item with which you have limited or no experience should not be your first step.
You can get useful advice on what could work best for you from folks on this forum if you provide more information beyond budget. What’s your height and weight and fitness level would be a good start. Have you ever been in a kayak? What part of the country do you live in? What sort of “bay” are you considering as a paddling destination? Are you considering going on group paddles with other people who might have longer boats?
Kayaks under 12’ are, for the most part, strictly for light duty use in calm shallow waters. I would never take out any kayak under 14’ in coastal conditions or a large deep lake. Also, a kayak as short and wide as what you are considering is going to be really slow. You will have great difficulty keeping up with people in longer touring kayaks and also trouble if you get far from shore and need to paddle back in when conditions are windy or if there are waves or strong currents. If you are a big guy, an 11’ boat is too short for you. If you are a slim athletic type, having such a wide boat will make it clumsy to control.
The Aventura 110, while better outfitted than most recreational model short kayaks, still is a slug at 27" beam. And at 52 pounds it is no lighter than many longer boats because the width adds mass. Longer boats are also easier to load on a roof rack than short ones because of the simple fact of leverage. Boats 14’ to 16’ tend to be the most versatile for a range of conditions. Volume and hull profile are also important factors in function and handling.
You don’t really specify if you have any paddling experience. Have you ever been out in a borrowed or rented boat or been on a guided trip? It would be useful to know that, and what types of waters you have experience with.
Buying a boat on-line, especially for someone new to the sport, is a really bad idea, IMHO. Fit is very important in kayaks and if you can’t at least sit in a model on dry land, there is no way to tell if it will fit your body dimensions.
It is nearly always best for beginners to buy a used kayak. For one thing, you don’t yet know what you don’t know about kayaking. Getting a used boat and then getting some seat time in it will help you determine what you do and don’t like about it and what your ambitions might be for performance and features for an upgrade. If you spend $600 on a new boat and discover it really doesn’t serve your purpose, you will lose $100 to $200 in value in reselling it. For $400 you could find an older used boat of higher quality and probably re-sell it for close to what you paid for it once you have a better idea of what characteristics you want in your kayak. Or keep it for a friend “loaner”, as many of us do.
Also, often a used boat comes with a paddle, PFD and other gear thrown in, which can save you a couple of hundred dollars. I have bought over a dozen used kayaks over the past 15 years for myself, friends and family. Average price I paid (usually for boats that would have been $800 to $1200 new) was $400 and more than half of them came with a decent Werner or Aquabound paddle that would have been $125 new. And I have usually gotten the same or even higher price than I paid when I have re-sold a used boat.
I would say, be patient and keep watching local ads and/or wait until accessible dealers re-open. Typically used boat sales pick up in the Spring as people start cleaning out basements and garages and consider their own upgrades. Currently people are probably cautious about having strangers come to their homes so you may want to consider holding off on the rush to buy a boat.
But, getting back to “research”: fill us in on some of your metrics and you’ll get more useful advice.