Oh come on now. ADD A ZERO! Even then you won't buying new kit. Also read the 5k other threads with the same silly budget.
1MM BGA Pitch, not really a challenge, neither is double sided assembly although that can involve some workaround jigs or compromises if you choose the wrong very entry level equipment.
35mm will exclude most/all old "chipshooter" machines as they have narrow FOV's
0402 isn't a big challenge in 2022, 0201 needs decent feeders and a decent pick and place as well as good printing and PCB design, As far as I'm concerned 0201 means your printer is fully automatic.
185 different parts on 1 board is a lot and suggests poor design choices, cheap Chinese machines often top out at 48 or 60 8mm lanes. Even with more conventional equipment you would typically approach this many parts & feeders with two or more machines inline because 60 front 60 rear is a very "standard" arrangement.
You can load one set of feeders build, and then run again (shortest parts first) but that approach doesn't scale, fine for a batch 5 & completely unworkable for any volume at all (exactly how unworkable would depend exactly how much time and money you put in own extra feeders and kitting all 185 parts in advance)as well as how many partially built boards you want racked up in magazines drying out.
1000 boards also means a real oven not some tiny benchtop thing, they're not small.
If you genuinely want and need an SMT line and your product make you money, buying the correct equipment will pay off, spend more than a shitty second hand car or outsource.
Just as an example, here is a good 2nd user machine that is designed for exactly the type of work you describe. It can't quite hold enough parts, but I happen to know you can do a live feeder cassette switch on every board while its building which would be fine for very occasional highly complex jobs but a nightmare in any other scenario.
https://www.shawline.co.uk/product.php?id_product=42, the price is slightly inflated as it has a new head on it and is advertised by a broker. However it's still £23K GBP and doesn't come with feeders, hunting them down will cost as much again, at least, because they are forwards compatible with new models and are highly sought after, whoever is selling this machine clearly kept them for their new one and this is pretty normal.