Without an email list, how can we sign up 10,000 users in 2 months for a platform designated to entrepreneurs and creative individuals?

You seem to have a broad market focus. Narrow down your initial most suceptible group & early adopters. Once you have a target market, you can develop a series of objectives measures in days and social platforms for your 1 or 2 initial target markets. Once you have a series of objectives(goals) you can begin constructing a plan that helps you stay on track and even if you second guess it should serve as a reminder that there is a strategy in place and even if you pivot a bit all marketing efforts drive towards that next up objective. Once the steps are laid out, in laymen form such as pen and paper construct a series of possible content shares, imagery, captions, etc and develop a congruent messaging across all of your efforts. All leading towards 1 or 2 basic sign up forms or YouTube videos... Etc. always capturing email and name for access to continue to desired link or content pdf etc. don't be admiment about signing up for the $200, an email is an email so even if is an email given for access to information or future updates or tips you can still use that to nurture long term conversion. A consultant like myself can help you achieve this.

Even if you get 10k sign ups averages state that you won't get more than 1k actual valuable users at best.
There is a lot of work that needs to put into place, otherwise there wouldn't be questions like yours and consultants like me. But with a good strategy in place you do definitely increase your exposure and growth rate even if you don't reach your goals, because is about creating value no masses of uninterested leads.

Hi, without all the specifics around your audience and product, looking at Paid, Owned and Earned media. I'd suggest: JV's and collabs reaching through other peoples lists. Influencer outreach which would include media. Good 'ol FB advertising with a great hook, other social channels etc. It also depends on spend. You can grow an email list pretty quickly with good content and paid traffic. I'd also make sure you have an ongoing robust content strategy in place as well as making sure you have nailed your message and positioning before launch.

Sounds like Clarity to me. But anycase read the case studies for Harry's and Mint. How they were able to get that early customer acquisition before launching. I am sharing link below for Harry's just google about mint how they did it.

How to Gather 100,000 Emails in One Week - http://fourhourworkweek.com/2014/07/21/harrys-prelaunchr-email/

Hit me up and we can do a FREE 15-30min call where I can give you few action items.