Legally you are not allowed to search for jobs while on B2 - tourist visa. H1B sponsorship is based on the employer. No answers to it.
See below:
http://travel.state.gov/content/visas/english/visit/visitor.html
[b]Tourism and Visit (B-2):[/b]
tourism
vacation (holiday)
visit with friends or relatives
medical treatment
participation in social events hosted by fraternal, social, or service organizations
participation by amateurs in musical, sports, or similar events or contests, if not being paid for participating
enrollment in a short recreational course of study, not for credit toward a degree (for example, a two-day cooking class while on vacation)
[b]Travel Purposes Not Permitted On Visitor Visas:[/b]
These are some examples of activities that require different categories of visas and cannot be done while on a visitor visa:
study
employment
paid performances, or any professional performance before a paying audience
arrival as a crewmember on a ship or aircraft
work as foreign press, radio, film, journalists, and other information media
permanent residence in the United States