Cost -effective makes it tough. Silver 0.45 micron filters and a 100 ml syringe would be best e.g. from Millipore. Clean the filters by ashing, use then to filter your water, measure TC on the filter by combustion.
I guess you have only 1 sample. Isn't it possible to filter it on to a GF/C filter using a buchner funnel available in any lab? If you know somebody using those filters who can give 1 free, there won't be any cost at all.