Well, in addition to having long hair of my own for decades I've always been something of a wig enthusiest and have owned many. I'll give you some advice you'll either learn from me now or on you own over time.
The first is that no wig will likely ever look close to as good as your own hair grown long and well cared for. You really, really want to reconsider growing yours out, especially if is very thick. It could probably be very beautiful in about a year. The grow out process will be annoying, but once it's done your hair looks great and there are few basic experiences in life more wonderful than having gorgeous long hair. Trust me on this.
Unless you have very bad eyesight and are easily satisfied you will probably still be searching for a satsifactory wig a year from now. You can buy a good wig for the amount you mentioned, but most wig wearers don't attain one that fully suits them until they've purchased at least three or four. I've know wig wearers who've gone through a dozen wigs at $1K or more a piece before finding the right one. Be ready to either compromise your tastes a lot or spend a lot more money.
As mentioned above, the best bet is to go to a good wig shop and be fitted by someone who knows wigs. These people can alter the wig to fit your head and can advise you on styling tips. It's possible to get a good wig shopping online, but it's an absolute gamble with the odds against you. You might get lucky on number four.
While you'll hear different opinions, in my own experience, human hair wigs are the only way to go. Synthetics are common because they are cheap and easily manufactured, not because the look like hair. If you want to wear bangs with your hair down all the time, a simpler with without front lace will work for you. Otherwise front lace is necissary to have a showing hairline and it requires applying adhesive on your front hairline every time you put it on. Ponytails and updos are tricky unless you buy a full lace wig designed for the purpose.
Anyway, I suggest googling "wigs" or "wig care" for tons more information, much of which you'll need to know if you want to wear a wig and look good one.