To be precise, if you just have a budget of $3000-$4000, what will you do? If you can give precise examples, that will be helpful. For e.g. if you say forum advertising - say which forums, if you say facebook - which kind of audience, if display ads - which kind of targeting? Or is there any other form of advertising/marketing which will be more powerful. And if you have to recommend someone - who can do all this stuff for me - who will you recommend (considering I can pay up to $2000 per month for say 3 months contract).
You can absolutely dominate with this (assuming your web app is excellent) by doing Facebook Ads. I recommend right hand ads that are targeted to people interested in various SEO keywords, groups and pages.
We do this for clients all the time and by far, Facebook is the absolute best (and most affordable) way to market products and services like this right now. The targeting, especially using the Power Editor, is ridiculously good.
I'd recommend testing 50 different ads and 2 methods:
1. Landing page that is on your Facebook page as a tab
2. Landing page on your actual website.
This works really well right now, even at lower ad budgets.