Hylafax without modems - SIP?

 Content preview:  I've just had to replace my Hylafax server as the cooling
   fan in the rack case has died and could not be replaced. My box runs three
    fax modems, one for each of the original 3 fax machines that got skipped
   years ago. [...] 
 
 Content analysis details:   (-48.1 points, 15.0 required)
 
  pts rule name              description
 ---- ---------------------- --------------------------------------------------
  -50 ALL_TRUSTED            Passed through trusted hosts only via SMTP
  0.1 SCORE_RCPTS            Adding score for each recipient
 -0.0 RP_MATCHES_RCVD        Envelope sender domain matches handover relay domain
  0.8 BAYES_50               BODY: Bayes spam probability is 40 to 60%
                             [score: 0.5000]
  1.0 RING_SAFE              No description available.
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I've just had to replace my Hylafax server as the cooling fan in the rack case 
has died and could not be replaced.

My box runs three fax modems, one for each of the original 3 fax machines that 
got skipped years ago.

This means that I now have 3 lots of:

USB to seral converter (new box doesn't have any COM ports.
9pin->25-pin serial cable
Modem
power supply
phone line
analogue port on our Mitel 3300 controller

I was wondering if there a better way?

I've done lots of Googling and there is a lot of conflicting - and mostly very 
old - information out there.

Does anyone have any more up-to-date opinions or advice on doing this?

Most of the concerns about reliability were based on IP latency, but my fax 
server and my Mitel controller are both on the same Procurv Gigabit switch so 
hopefully that would be quick enough


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