IMO the problem isn't necessarily the obligations they do have, but the obligations that they'll lose, plus the sheer amount of arbitration cases on really good players that they have for next year.
Crawford, Burrell, Pena, Soriano, Balfour and Randy Choate are all FA.
Garza, Upton, Bartlett, JP Howell, Lance Cormier, Andy Sonnastine and Matt Joyce are all due arb raises.
David Price and Evan Longoria are both due contract raises.
They only have 13 million comitted to next year's team currently (as per Cot's baseball contracts), but considering the amount of FA holes they'll need to fill, as well as arb and contract increases i don't believe it's realistic to expect the Rays to deal both prospects (who could help fill some of those holes) or spend 20-22 million a year (which would constitute maybe a third of their payroll, and much less both.