An option for ESPN Fantasy Baseball League Manager Leagues is Free Agent Budget, or "FAB".  

• Free Agent Budget (Continuous) - Team managers will have a specific budget with which they can submit offers to sign players. All signings will be done in batches one or more times a week (as specified in the settings). If a team manager would like to add a player, that team will offer a salary amount they are willing to pay. On the next waiver process day, the team with the highest offer will be awarded the player, and the salary amount will be subtracted from that team's budget.

FAB waiver order is determined in the same fashion as non-FAB. If you make a waiver claim and win it, you get moved to the bottom of the waiver order list.