Since Swoogo is positioning you with various pricing options and a variety of tiered offerings, introducing competition can be a powerful negotiation tactic. Communicate to their sales representative that you're considering other vendors offering similar features at lower costs, which can help secure better terms and pricing as you articulate how your finance department is constraining your choices.
Take a close look at how many features and licenses you are actually utilizing from Swoogo's offerings, as it seems there are multiple tiers and packages in play. Use this analysis to its fullest by negotiating based on your actual usage to ensure you are not overpaying for unused or underutilized features.
Since you have a diverse set of line items, it's important to anchor your budget demands against the uplift presented. Emphasize that your previous agreement was cost-effective, and negotiate for the removal of any unexpected price increases, especially as you've noted specific budget constraints that won’t accommodate higher costs. Leverage any poor performance or service issues to bolster your case.
If Swoogo is presenting you contracts with multi-year commitments, stress the need for more flexible, month-to-month terms to better assess ROI. This tactic may encourage Swoogo to offer you better pricing in exchange for this shorter commitment, especially if tied to your current satisfaction levels.
Consider using your willingness to act as a reference for Swoogo as leverage to negotiate a better deal. You might propose to help them showcase Swoogo in your events in exchange for a discount on pricing or better terms, recognizing the marketing value you can provide to them as a satisfied customer.