Don't waste your money on invicta. Running 20 dollar bills through a paper shredder would be a better idea than buying a lot of their watches.
Do you want a large watch in general or do you actually want a large crown? The crown is the thing on the side that you pull out to adjust the time, date, etc....
If you want just a large crown then check out Oris watches. They have several "Big Crown" models. You may need to buy used though given your budget.
If you want a larger watch I'd check out a Seiko sumo, orient m force, or an orient saturation diver. All of which are quality watches from reputable watch manufacturers.
Steinhart also makes some larger pilot/flieger type watches at 44 and 47mm.
Also check out a Casio G Shock MTG. It's a damn big watch.
Do you have a preference for quartz or mechanical?