I created a list (now a little out of date i will update soon) on all the smokers avaliable, their pro's cons and pricesviewtopic.php?f=17&t=987
Unfortunately most smokers there is compromise when asking for features
in the case of the weber Gas range their primary function is grilling so other features are really afterthoughts and as such not its core function (which by the way they do PERFECTLY)
Coolabah / Hark Gas cabinets
These are relatively easy to control and are relatively automated but their downfall is that they are essentially just an oven with a smokebox in them. the flavour profile produced isnt consistent with that of a solid fuel BBQ
Ideally if you are chasing proper bbq either you have to invest either effort or $$$.
As above the most authentic you will get with very little outlay is a weber kettle but as you have said it requires input. the cabinet smokers dont give you the genuine flavour profile and you cant grill on them and the pellet bbq's are not in your budget.
Personally i would suggest (above) a family Q for the best day to day grilling and when you can find the time to dabble in proper low/slow get yourself a $50 kettle bbq of gumtree. these 2 bbq's take up less room than your average 6 burner BBQ and will cover 90$ of the cooking styles you want to play with