I finaly got working android MIUI 3.5.3 ICS 4.0.3 on my girlfriend's HTC Rhyme.
Source ROM and Recovery is from Chinse site bbs.anzhi.com. Here si link to ROM http://bbs.anzhi.com/thread-6718737-1-1.html
Geting something from this site is little confusing , you have to register, them wait 10 minutes, after it post reply to thread where you want see download links. Some files (big rom zip file) is hosted on 115.com service, which is another fight to get something from it .
I have istalled rom about 1 day and it seems to be very stable, fast and clean. Free memory is about 300MB!!!. I had no mandatory issues with this rom.
One litle problem is, that rotation not fully working.
So let's go on
Flash latest RUU ICS. We need hboot version 1.33
Unlock your bootloader via HTCdev.com
path/to/fastboot flash recovery path/to/recovery.img
reboot to recovery, do full wipe (format cache, data, system partitions) and install miui_bliss_3.5.3_bw5os1iujb_4.0.zip from sd card.
Optionaly flash gapps.zip downloaded from http://goo.im/gapps/ I use latest ics gapps-ics-20120429-signed.zip
if you don't know how to istall/use fastboot, you teach it while you do bootloader unlock on htc site.
Download files here http://bliss.ikfsystems.sk/ and don't forget to check md5sums.
This procedure works for me, but may not for you. You do this at your own risk.
my hboot info:
*** UNLOCKED *** BLISS PVT SHIP S-ON RL HBOOT-1.33.0000 RADIO-3831.17.00.17_M eMMC-boot Apr 13 2012, 10:10:20