You're mixing up timestamps and discrete date and time calculations - won't work this way. What you'll really want is probably something like this:
DATA: l_date TYPE d,
l_time TYPE t,
l_ts TYPE rstimestmp.
FIELD-SYMBOLS: <ls_param> LIKE LINE OF l_t_range.
* ensure that the parameter exists
READ TABLE l_t_range ASSIGNING <ls_param> WITH KEY fieldname = 'TIMESTAMP'.
IF sy-subrc <> 0.
APPEND INITIAL LINE TO l_t_range ASSIGNING <ls_param>.
<ls_param>-fieldname = 'TIMESTAMP'.
ENDIF.
<ls_param>-sign = 'I'.
<ls_param>-option = 'BT'.
* "from" date = three months ago, more or less - probably the start of the day?
l_date = sy-datlo - 93.
l_time = '000000'. " or sy-timlo.
CONVERT DATE l_date TIME l_time INTO TIME STAMP l_ts TIME ZONE sy-zonlo.
<ls_param>-low = l_ts.
* "to" date = today - probably the end of the day?
l_date = sy-datlo.
l_time = '235959'. " or sy-timlo.
CONVERT DATE l_date TIME l_time INTO TIME STAMP l_ts TIME ZONE sy-zonlo.
<ls_param>-high = l_ts.