IF you decide to do the work yourself...
assuming the corona shares a similar engine bay to the RA celica
my advice is to get a set of 1GGE engine mounts... from where ever you can, i got mine of stradlater, these ones will fit on the front set of engine mounts, all you need to do, is file out the bottom front hole a bit, on the left mount. and cut the web on the right one with a hacksaw (not a angle grinder, cut thickness too big) and spread the mount apart a whisker.. 3 or 4mm at the cut... then weld it back up and chuck it on... (test it before you weld it)
that saves you modifying the mounts on the cross member... i've seen some pretty knarly looking x-member mounts...
we had the old engine in at brekky time, new one in before lunch... saves heaps of time