Dozens is an understatement, there are a massive number of gundam models out there. It can be a bit daunting to find the ones that fit one's personal aesthetic.
I find that Dalong's gunpla review site dalong.net is extremely helpful when deciding which kits to buy. Although most of it isn't in english, the extensive photos of almost every kit produced (unpainted, and/or lightly detailed), along with scans of their manuals and photos of their sprues give you a good idea of exactly what you're buying.
Since you asked for kit suggestions (in no real order):
As far as less "mecha-samurai" Gunpla kits go, I'd recommend the Tieren Ground Type (there's even a 1/100 version of it, if that suits your fancy). It does have a small close combat weapon, but you can just leave that off.
The Kämpfer is a classic mobile suit (that also comes in a "Master Grade" 1/100 version), that comes with a bunch of ranged options. The closest thing it has to a close combat weapon is a "chain-mine" which you can just leave of off (and use as normal mines)
The Grimoire and Grimoire Red Beret are a pair of interesting mobile suits that lack close combat weapons (aside from a small knife and a weird glowing bayonet-ish thing, which you can easily leave off).
You also can't really go wrong with a Zaku or a Zaku relative (like the Bugu), especially the "Gundam The Origin" versions where they grittied them up a bit . Though they usually have a "heat hawk" axe, but again you can just leave that off.
The Guntank early type might interest you as well, if you're into the tracks instead of legs aesthetic.
They're older kits, but since you liked the Heavy Arms, you might also want to look into the Gundam H-Arms Custom, and the Serpent Custom (both of which have 1/100 versions).
