I just stumbled on H. Res. 63, introduced back in January, whose main provision is:

no bill, joint resolution, conference report, or amendment between the Houses shall be voted on by the House unless the text of that measure has been available to all Members and their staffs in both printed and electronic format for at least 10 days

H. Res. 63, sponsored by Rep. Ron Paul [R-TX] and cosponsored by Reps. Bartlett [R-MD] and McCotter [R-MI], is a lot like two other bills I’ve seen before and probably posted about. H.R. 170: Sunlight Act of 2007, introduced eight days earlier by Rep. Steve King [R-IA] (no cosponsors), proposed pre-certification of travel expenses, precise dollar-amount reporting in disclosure reports, expedited availability of FEC reports, and has a two-day version of the above:

It shall not be in order to consider any bill or joint resolution, or conference report . . . [unless] such measure is made available to Members and the general public on the Internet for at least 48 hours before its consideration

Finally, H. Res. 504, which was introduced only in June by Rep. Brian Baird [D-WA], but has 13 cosponsors on both sides of the aisle, is a three-day version of the above. It amends existing rules in non-obvious ways, so there’s no simple excerpt to give except for the title of the bill itself:

. . . to require that legislation and conference reports be available on the Internet for 72 hours before consideration by the House

Summing it up, we have 18 representatives that support some form of this provision. Maybe they can get together on a single resolution?