Are you looking for a portable solution? Will you always have the time/space to setup something like the signal hound? The realtime SA you're not going to find on any handheld models I know of, but you're looking at a fair bit more setup and space requirement than most of the portable Anritsu/R&S options in that pricerange. Sure, there are also desktop units, but most of the availability will be in handhelds.
If you're always going to have a computer with you and have no requirement for carrying the unit around, then the Signal Hound will probably get you the best performance in the general price bracket, but if there's benefit to a standalone or a portable unit, then they don't have an offering. R&S has great stuff, but it tends to command a bit of a premium, and especially if you're considering portable models, there are a few more recent revisions that up the resolution of the screen and seem to be a nice increase from the older FSH versions. Anritsu units are maybe a bit larger (similar weight, but maybe harder to one-hand), but will probably get comparable performance to the R&S units with a lesser price. In either case, at least regarding portable units, you can get a number of nice software/hardware options to get more value out of your analyzer - most notably in my mind is the ability to have a good power meter built in with an external adapter, but there are many to choose from (this includes the tracking gen, there are some antenna tester models with it automatic, but usually it's an option with portable SAs). Of course, on a portable unit you can't expect the same sweep speed as a dedicated desktop unit, and you generally get fewer input and output options.
I've got an Anritsu handheld that's a little over 10 years old. Totally usable and good noise performance, but the sweep speed caps at 10 updates a second, and some of the buttons lag a bit - the UI is consistent, but not all that responsive. I think the R&S FSH and similar are a bit more responsive, but from what I've seen, at least, they're similar on the sweep speed cap. Power meter software options seem to be pretty common, but the Anritsu power meter dongles are maybe half the price of the R&S in a lot of cases.