An engineer here and I hook up big generators all the time (in the gas business). I think the best bang for the buck less than $600 will be the Firman generator from Costco, but the best value is the Yamaha. BUT, the Firman is made in China as are almost every generator that will be mentioned in this thread with the exception of the Honda and the Yamaha. None of the China made units (Generac, Firman, Northern Tool's brand, ETC. ETC.) are as technically well made as the Japanese brands. The metalurgy is better, the tolerances are better, etc... But, you can buy two Firman's for what a Honda will cost you.
Dual fuel is nice, but you may not get that on the little 2000W model. They (Costco) occasionally have a generator with a Yamaha engine, but it ISN'T a Yamaha generator, just uses a Yamaha motor. It's a pretty nice unit for the money.
If you want quality and value, order a Yamaha generator online. The last time I looked the little 2000W inverter model was about $800. Honda is REALLY nice as well, but it is $1000. I actual prefer the Yamaha over the Honda because it has a few more features like an On/Off gas valve so you can drain the carburetor each time you run. This is a MUST. It will last forever if you do this and run non-ethanol fuel ONLY. Don't worry about running a little genset on propane, use the non-ethanol fuel and run the carbureator dry after each use and you will be fine. It can sit for years and will crank on the 2nd-3rd pull, if you run a Yamaha or Honda. The China brands are a crap shoot long term.
My first choice, spend a little more and get the Yamaha, it is as well made (maybe even better) than the Honda, has more features than the Honda, and is head and shoulders technically better than ALL the China made stuff. The Yamaha will run when you need it without you having to fight it in the dark.