We do have official coordinates in CRTM05

ID North East
CIQE 1141453.371 452808.934
PUNT 1103633.696 408765.664
RIDC 1096862.037 494618.968

The new point would be aproximately at 1095794 496168

We don't want to introduce errors because of particulars of CRTM05. Is it better to use UTM or other CRS?

CRTM05 info:
Proj4
+proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs