This will probably get moved to the Hardware forum, and there is tons of threads about this.
If your current budget is 100 to 300, I would commit to either a CH Hotas setup, and get the stick, the rudders, then the throttle in that order. Another option is the Saitek/Madcatz X52. For the little bit extra I would get the X52 Pro, and a set of pedals. The two sets I would look at are either the CH pedals or the Saitek Combat pedals. The CH are around 125 to 150 usually, but sometimes come up for 100$. The Combat pedals are wider, have more metal construction, and are better pedals IMO, as I have both and a set of custom peds as well. The Saitek Combats will cost you closer to 200$ or more, so they may be out of your budget. You could get by with just the X52 Pro and use the twisty for the rudder function, but pedals will be more accurate once you get used to them.
CH stuff is the most precise so far as making accurate shots in AH, as jet sims and the like usually don't need the super accurate precision of aiming at wings or cockpits and the like in Aces High. In this game accuracy is extremely important, and the Ch Fighter or Combat stick IMO of all the HOTAS I've had are the most precise. I have the TM Warthog (way out of your price range, and stiffer and not as precise IMO as the CH Stick), and it's fantastic, especially for offline and jet sims, and I had the Saitek X65, but due to the nature of how it works, a non moving force sensing stick, it's extremely difficult to get used to and be accurate with, plus it's almost as much as the Warthog.
So, I feel your best option is either get the X52 Pro and some pedals, or the CH Fighter/Combat Stick for 120$ ish, and buy the rudder pedals, then the throttle, as you can afford them. The CH setup will serve you the best for AH, I firmly believe that, but all the other options are really good as well. The X52 Pro will get you the throttle for the same price as just the stick with CH, and it can be very precise when set up properly in AH as well. Plus, with the X52 Pro you can get by without pedals and save some $ for a bit until you can afford it, or just blow your entire 300$ budget and get the X52 Pro and pedals together, and you should have enough left over for a few McDonalds trips.